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Constacyclic Codes of Arbitrary Length over Fq+uFq+⋯+ue−1Fq Fq+uFq+⋯⋯+ue−1Fq上任意长度的恒循环码
Algebraic Structures and their Applications Pub Date : 2019-04-01 DOI: 10.29252/ASTA.6.1.67
M. Beygi, S. Namazi, H. Sharif
{"title":"Constacyclic Codes of Arbitrary Length over Fq+uFq+⋯+ue−1Fq","authors":"M. Beygi, S. Namazi, H. Sharif","doi":"10.29252/ASTA.6.1.67","DOIUrl":"https://doi.org/10.29252/ASTA.6.1.67","url":null,"abstract":"","PeriodicalId":36596,"journal":{"name":"Algebraic Structures and their Applications","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76784251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on derivations in rings and Banach algebras 关于环和巴拿赫代数的导数的注记
Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI: 10.29252/as.2019.1378
N. Rehman, Shuliang Huang, M. Raza
{"title":"A note on derivations in rings and Banach algebras","authors":"N. Rehman, Shuliang Huang, M. Raza","doi":"10.29252/as.2019.1378","DOIUrl":"https://doi.org/10.29252/as.2019.1378","url":null,"abstract":"Let R be a prime ring with U the Utumi quotient ring and Q be the Martindale quotient ring of R, respectively. Let d be a derivation of R and m,n be fixed positive integers. In this paper, we study the case when one of the following holds: (i) d(x) ◦n d(y)=x ◦m y (ii) d(x) ◦m d(y)=(d(x ◦ y)) for all x, y in some appropriate subset of R. We also examine the case where R is a semiprime ring. Finally, as an application we apply our result to the continuous derivations on Banach algebras.","PeriodicalId":36596,"journal":{"name":"Algebraic Structures and their Applications","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84314197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Characterizing some groups with nilpotent derived subgroup 用幂零派生子群刻画群
Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI: 10.29252/as.2019.1353
A. Kaheni, F. Johari
{"title":"Characterizing some groups with nilpotent derived subgroup","authors":"A. Kaheni, F. Johari","doi":"10.29252/as.2019.1353","DOIUrl":"https://doi.org/10.29252/as.2019.1353","url":null,"abstract":"In this paper, groups with trivial intersection between Frattini and derived subgroups are considered. First, some structural properties of these groups are given in an important special case. Then, some family invariants of each n-isoclinism family of such groups are stated. In particular, an explicit bound for the order of each center factor group in terms of the order of its derived subgroup is also provided.","PeriodicalId":36596,"journal":{"name":"Algebraic Structures and their Applications","volume":"56 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88557824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A general construction of Reed-Solomon codes based on generalized discrete Fourier transform 基于广义离散傅里叶变换的Reed-Solomon码的一般构造
Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI: 10.29252/AS.2019.1338
N. Sahami, M. Mazrooei
{"title":"A general construction of Reed-Solomon codes based on generalized discrete Fourier transform","authors":"N. Sahami, M. Mazrooei","doi":"10.29252/AS.2019.1338","DOIUrl":"https://doi.org/10.29252/AS.2019.1338","url":null,"abstract":"In this paper, we employ the concept of the Generalized Discrete Fourier Transform, which in turn relies on the Hasse derivative of polynomials, to give a general construction of Reed-Solomon codes over Galois fields of characteristic not necessarily co-prime with the length of the code. The constructed linear codes enjoy nice algebraic properties just as the classic one.","PeriodicalId":36596,"journal":{"name":"Algebraic Structures and their Applications","volume":"62 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80997316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Cartesian closed subcategories of topological fuzzes 拓扑模糊的笛卡尔闭子范畴
Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI: 10.29252/AS.2019.1335
M. Akbarpour, Ghasem Mirhosseinkhani
{"title":"Cartesian closed subcategories of topological fuzzes","authors":"M. Akbarpour, Ghasem Mirhosseinkhani","doi":"10.29252/AS.2019.1335","DOIUrl":"https://doi.org/10.29252/AS.2019.1335","url":null,"abstract":"A category $mathbf{C}$ is called Cartesian closed  provided that it has finite products and for each$mathbf{C}$-object $A$ the functor $(Atimes -): Ara A$ has a right adjoint. It is well known that the category $mathbf{TopFuzz}$  of all topological fuzzes is both complete  and cocomplete, but it is not Cartesian closed. In this paper, we introduce some Cartesian closed subcategories of this category.","PeriodicalId":36596,"journal":{"name":"Algebraic Structures and their Applications","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75846603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An elementary proof of Nagel-Schenzel formula Nagel-Schenzel公式的初等证明
Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI: 10.29252/AS.2019.1359
A. Vahidi
{"title":"An elementary proof of Nagel-Schenzel formula","authors":"A. Vahidi","doi":"10.29252/AS.2019.1359","DOIUrl":"https://doi.org/10.29252/AS.2019.1359","url":null,"abstract":"Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R, M a finitely generated R–module, and a1, . . . , an an a–filter regular M–sequence. The formula Ha(M) ∼=  H i (a1,...,an) (M) for all i < n, Hi−n a (H n (a1,...,an) (M)) for all i ≥ n, is known as Nagel-Schenzel formula and is a useful result to express the local cohomology modules in terms of filter regular sequences. In this paper, we provide an elementary proof to this formula.","PeriodicalId":36596,"journal":{"name":"Algebraic Structures and their Applications","volume":"94 18","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72375129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rough ideals based on ideal determined varieties 粗糙的理想以理想为基础，确定了品种
Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI: 10.29252/AS.2019.1334
S. Rasouli
{"title":"Rough ideals based on ideal determined varieties","authors":"S. Rasouli","doi":"10.29252/AS.2019.1334","DOIUrl":"https://doi.org/10.29252/AS.2019.1334","url":null,"abstract":"The paper is devoted to concern a relationship between rough set theory and universal algebra. Notions of lower and upper rough approximations on an algebraic structure induced by an ideal are introduced and some of their properties are studied. Also, notions of rough subalgebras and rough ideals with respect to an ideal of an algebraic structure, which is an extended notion of subalgebras and ideals in an algebraic structure, are introduced and investigated.","PeriodicalId":36596,"journal":{"name":"Algebraic Structures and their Applications","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77274897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Isogeny-Based Certificateless Identification Scheme 基于等基因的无证书识别方案
Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI: 10.29252/as.2019.1357
H. Daghigh, R. K. Gilan
{"title":"Isogeny-Based Certificateless Identification Scheme","authors":"H. Daghigh, R. K. Gilan","doi":"10.29252/as.2019.1357","DOIUrl":"https://doi.org/10.29252/as.2019.1357","url":null,"abstract":"In this paper, we propose a new certificateless identification scheme based on isogenies between elliptic curves that is a candidate for quantum-resistant problems. The proposed scheme has the batch verification property which allows verifying more than one identity by executing only a single challenge-response protocol.","PeriodicalId":36596,"journal":{"name":"Algebraic Structures and their Applications","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91127107","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Hyperrings which every element is sum of an idempotent and nilpotent 每个元素都是幂等和幂零的超环
Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI: 10.29252/AS.2019.1360
Y. Talebi, M. Farzinejad
{"title":"Hyperrings which every element is sum of an idempotent and nilpotent","authors":"Y. Talebi, M. Farzinejad","doi":"10.29252/AS.2019.1360","DOIUrl":"https://doi.org/10.29252/AS.2019.1360","url":null,"abstract":"In this paper, we define a generalized of clean of Krasner hyperrings for general hyperrings based on the notation of nilpotent elements of a general hyperring R, named nil clean hyperring. We examine characterization of this kind of hyperrings and finally, we obtain some relations of nil clean general hyperrings with other hyperrings.","PeriodicalId":36596,"journal":{"name":"Algebraic Structures and their Applications","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78368583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Graph product of generalized Cayley graphs over polygroups 多群上广义Cayley图的图积
Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI: 10.29252/AS.2019.1340
D. Heidari
{"title":"Graph product of generalized Cayley graphs over polygroups","authors":"D. Heidari","doi":"10.29252/AS.2019.1340","DOIUrl":"https://doi.org/10.29252/AS.2019.1340","url":null,"abstract":"In this paper, we introduce a suitable generalization of Cayley graphs that is defined over polygroups (GCP-graph) and give some examples and properties. Then, we mention a generalization of NEPS that contains some known graph operations and apply to GCP-graphs. Finally, we prove that the product of GCP-graphs is again a GCP-graph.","PeriodicalId":36596,"journal":{"name":"Algebraic Structures and their Applications","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84857498","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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