发布求助
文献互助 智能选刊 最新文献

Applied Categorical Structures最新文献

筛选
英文 中文
Commutative Objects, Central Morphisms and Subtractors in Subtractive Categories 减法范畴中的交换对象、中心态射和减法子
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-03-12 DOI: 10.1007/s10485-023-09715-2
Vaino Tuhafeni Shaumbwa
{"title":"Commutative Objects, Central Morphisms and Subtractors in Subtractive Categories","authors":"Vaino Tuhafeni Shaumbwa","doi":"10.1007/s10485-023-09715-2","DOIUrl":"10.1007/s10485-023-09715-2","url":null,"abstract":"<div><p>We give some characterizations of commutative objects in a subtractive category and central morphisms in a regular subtractive category. In particular, we show that commutative objects, i.e., internal unitary magmas, are the same as internal abelian groups in a subtractive category and that analogously, centrality has an alternative description in terms of so-called “subtractors” in a regular subtractive category.</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":"31 2","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-023-09715-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45820524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Modifications of Hull Operators in Archimedean Lattice-Ordered Groups with Weak Unit 弱单位阿基米德格序群中Hull算子的一些改进
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-02-28 DOI: 10.1007/s10485-023-09710-7
Ricardo E. Carrera, Anthony W. Hager
{"title":"Some Modifications of Hull Operators in Archimedean Lattice-Ordered Groups with Weak Unit","authors":"Ricardo E. Carrera,&nbsp;Anthony W. Hager","doi":"10.1007/s10485-023-09710-7","DOIUrl":"10.1007/s10485-023-09710-7","url":null,"abstract":"<div><p><span>({textbf {W}})</span> denotes the category, or class of algebras, in the title. A hull operator (ho) in <span>({textbf {W}})</span> is a function <span>(textbf{ho} {textbf {W}}overset{h}{longrightarrow } {textbf {W}})</span> which can be called an essential closure operator. The family of these, denoted <span>(textbf{ho} {textbf {W}})</span>, is a proper class and a complete lattice in the ordering as functions “pointwise\", with the bottom <span>({{,textrm{Id},}}_{{textbf {W}}})</span> and top Conrad’s essential completion <i>e</i>. Other much studied hull operators are the divisible hull, maximum essential reflection, projectable hull, and Dedekind completion. This paper is the authors’ latest efforts to understand/create structure in <span>(textbf{ho} {textbf {W}})</span> through the nature of the interaction that an <i>h</i> might have with <i>B</i>, the bounded monocoreflection in <span>({textbf {W}})</span> (e.g., Bh=hB). We define and investigate three functions <span>(textbf{ho} {textbf {W}}longrightarrow textbf{ho} {textbf {W}})</span> which stand in the relation </p><div><div><span>$$begin{aligned} {{,textrm{Id},}}_{{textbf {W}}} le overline{alpha }(h) le overline{lambda }(h) le overline{c}(h) le h. end{aligned}$$</span></div></div><p>General properties that an <i>h</i> might have, and particular choices of <i>h</i>, show various assignments of &lt; and <span>(=)</span> in this chain.\u0000</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":"31 2","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-023-09710-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42171580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Admissibility of Localizations of Crossed Modules 交叉模块局部化的可接受性
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-01-20 DOI: 10.1007/s10485-023-09738-9
Olivia Monjon, J. Scherer, Florence Sterck
{"title":"Admissibility of Localizations of Crossed Modules","authors":"Olivia Monjon, J. Scherer, Florence Sterck","doi":"10.1007/s10485-023-09738-9","DOIUrl":"https://doi.org/10.1007/s10485-023-09738-9","url":null,"abstract":"","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":"0 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52044402","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Descent for internal multicategory functors 内部多范畴函子的下降
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-01-17 DOI: 10.1007/s10485-022-09706-9
Rui Prezado, Fernando Lucatelli Nunes
{"title":"Descent for internal multicategory functors","authors":"Rui Prezado,&nbsp;Fernando Lucatelli Nunes","doi":"10.1007/s10485-022-09706-9","DOIUrl":"10.1007/s10485-022-09706-9","url":null,"abstract":"<div><p>We give sufficient conditions for effective descent in categories of (generalized) internal multicategories. Two approaches to study effective descent morphisms are pursued. The first one relies on establishing the category of internal multicategories as an equalizer of categories of diagrams. The second approach extends the techniques developed by Ivan Le Creurer in his study of descent for internal essentially algebraic structures.</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":"31 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-022-09706-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45853869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Trace Decategorification of Categorified Quantum sl(3) 有范畴量子sl(3)的迹去范畴化
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-01-11 DOI: 10.1007/s10485-022-09704-x
Marko Živković
{"title":"Trace Decategorification of Categorified Quantum sl(3)","authors":"Marko Živković","doi":"10.1007/s10485-022-09704-x","DOIUrl":"10.1007/s10485-022-09704-x","url":null,"abstract":"<div><p>We prove that the trace of categorified quantum <span>(mathfrak {sl}_3)</span> introduced by Khovanov and Lauda can also be identified with quantum <span>(mathfrak {sl}_3)</span>, thus providing an alternative way of decategorification. This is the second step of trace decategorification of quantum <span>(mathfrak {sl}_n)</span> groups over the integers, the first being the <span>(mathfrak {sl}_2)</span> case. The main technique used is decoupling of categorified quantum group into its positive and negative part. This technique can be used for more general categorified quantum groups to reduce the problem to the trace decategorification of its positive part. In the case of quantum <span>(mathfrak {sl}_3)</span>, there is an explicit form of the canonical basis of the positive (and isomorphically negative) part of it based on indecomposables found by Stošić, leading to the full result in this case.</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":"31 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50019537","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
A symmetric approach to higher coverings in categorical Galois theory 范畴Galois理论中高覆盖的对称方法
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-01-11 DOI: 10.1007/s10485-022-09698-6
Fara Renaud, Tim Van der Linden
{"title":"A symmetric approach to higher coverings in categorical Galois theory","authors":"Fara Renaud,&nbsp;Tim Van der Linden","doi":"10.1007/s10485-022-09698-6","DOIUrl":"10.1007/s10485-022-09698-6","url":null,"abstract":"<div><p>In the context of a tower of (strongly Birkhoff) Galois structures in the sense of categorical Galois theory, we show that the concept of a higher covering admits a characterisation which is at the same time <i>absolute</i> (with respect to the base level in the tower), rather than inductively defined relative to extensions of a lower order; and <i>symmetric</i>, rather than depending on a perspective in terms of arrows pointing in a certain chosen direction. This result applies to the Galois theory of quandles, for instance, where it helps us characterising the higher coverings in purely algebraic terms.\u0000</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":"31 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-022-09698-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42697676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Local Cohen–Macaulay DG-Modules 本地Cohen-Macaulay dg模块
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-01-03 DOI: 10.1007/s10485-022-09703-y
Xiaoyan Yang, Yanjie Li
{"title":"Local Cohen–Macaulay DG-Modules","authors":"Xiaoyan Yang,&nbsp;Yanjie Li","doi":"10.1007/s10485-022-09703-y","DOIUrl":"10.1007/s10485-022-09703-y","url":null,"abstract":"<div><p>Let <i>A</i> be a commutative noetherian local DG-ring with bounded cohomology. For local Cohen–Macaulay DG-modules with constant amplitude, we obtain an explicit formula for the sequential depth, show that Cohen–Macaulayness is stable under localization and give several equivalent definitions of maximal local Cohen–Macaulay DG-modules over local Cohen–Macaulay DG-rings. We also provide some characterizations of Gorenstein DG-rings by projective and injective dimensions of DG-modules.\u0000</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":"31 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-022-09703-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46569515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Minimal Models of Some Differential Graded Modules 一类微分梯度模的极小模型
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-01-03 DOI: 10.1007/s10485-022-09708-7
Berrin Şentürk, Özgün Ünlü
{"title":"Minimal Models of Some Differential Graded Modules","authors":"Berrin Şentürk,&nbsp;Özgün Ünlü","doi":"10.1007/s10485-022-09708-7","DOIUrl":"10.1007/s10485-022-09708-7","url":null,"abstract":"<div><p>Minimal models of chain complexes associated with free torus actions on spaces have been extensively studied in the literature. In this paper, we discuss these constructions using the language of operads. The main goal of this paper is to define a new Koszul operad that has projections onto several of the operads used in these minimal model constructions.</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":"31 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50006606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Operators Between Classes of Modules Given by Preradicals 由泛型给出的模块类之间的操作符
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-01-01 DOI: 10.1007/s10485-022-09702-z
Alejandro Alvarado García, César Cejudo Castilla, Mauricio Medina Bárcenas, Ivan Fernando Vilchis Montalvo
{"title":"Operators Between Classes of Modules Given by Preradicals","authors":"Alejandro Alvarado García,&nbsp;César Cejudo Castilla,&nbsp;Mauricio Medina Bárcenas,&nbsp;Ivan Fernando Vilchis Montalvo","doi":"10.1007/s10485-022-09702-z","DOIUrl":"10.1007/s10485-022-09702-z","url":null,"abstract":"","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":"31 1","pages":"1"},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-022-09702-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50037081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Ramsey Properties of Products and Pullbacks of Categories and the Grothendieck Construction 产品的Ramsey性质、类别的回调与Grothendieck构造
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2022-12-29 DOI: 10.1007/s10485-022-09700-1
Dragan Mašulović
{"title":"Ramsey Properties of Products and Pullbacks of Categories and the Grothendieck Construction","authors":"Dragan Mašulović","doi":"10.1007/s10485-022-09700-1","DOIUrl":"10.1007/s10485-022-09700-1","url":null,"abstract":"<div><p>In this paper we provide purely categorical proofs of two important results of structural Ramsey theory: the result of M. Sokić that the free product of Ramsey classes is a Ramsey class, and the result of M. Bodirsky, M. Pinsker and T. Tsankov that adding constants to the language of a Ramsey class preserves the Ramsey property. The proofs that we present here ignore the model-theoretic background of these statements. Instead, they focus on categorical constructions by which the classes can be constructed generalizing the original statements along the way. It turns out that the restriction to classes of relational structures, although fundamental for the original proof strategies, is not relevant for the statements themselves. The categorical proofs we present here remove all restrictions on the signature of first-order structures and provide the information not only about the Ramsey property but also about the Ramsey degrees.</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":"31 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45814455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信