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A Note on Symmetric Elements of Division Rings with Involution 关于对合除法环对称元素的一个注记
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2021-09-02 DOI: 10.1007/s40306-021-00450-1
Vo Hoang Minh Thu
{"title":"A Note on Symmetric Elements of Division Rings with Involution","authors":"Vo Hoang Minh Thu","doi":"10.1007/s40306-021-00450-1","DOIUrl":"10.1007/s40306-021-00450-1","url":null,"abstract":"<div><p>Let <i>D</i> be a division ring with involution ⋆ and <i>S</i> the set of all symmetric elements of <i>D</i>. Assume that the center <i>F</i> of <i>D</i> is uncountable and <i>K</i> is a division subring of <i>D</i> containing <i>F</i>. The main aim of this note is to show that <i>S</i> is right algebraic over <i>K</i> if and only if so is <i>D</i>. This result allows us to construct an example of division rings <i>K</i> ⊂ <i>D</i> such that <i>D</i> is right algebraic but not left algebraic over <i>K</i>.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43076991","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
Faithfullness of Geometric Action of Skein Algebras 串代数几何作用的忠实性
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2021-08-25 DOI: 10.1007/s40306-021-00448-9
Thang T. Q. Lê
{"title":"Faithfullness of Geometric Action of Skein Algebras","authors":"Thang T. Q. Lê","doi":"10.1007/s40306-021-00448-9","DOIUrl":"10.1007/s40306-021-00448-9","url":null,"abstract":"<div><p>We show that the action of the Kauffman bracket skein algebra of a surface <i>Σ</i> on the skein module of the handlebody bounded by <i>Σ</i> is faithful if and only if the quantum parameter is not a root of 1.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40306-021-00448-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47809542","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: 2
Correction to: Membership Criteria and Containments of Powers of Monomial Ideals 修正:单项式理想的隶属标准和幂的蕴涵
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2021-08-23 DOI: 10.1007/s40306-021-00447-w
Huy Tài Hà, N. Trung
{"title":"Correction to: Membership Criteria and Containments of Powers of Monomial Ideals","authors":"Huy Tài Hà, N. Trung","doi":"10.1007/s40306-021-00447-w","DOIUrl":"https://doi.org/10.1007/s40306-021-00447-w","url":null,"abstract":"","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40306-021-00447-w","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52714230","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
Correction to: Membership Criteria and Containments of Powers of Monomial Ideals 修正：单调理想的隶属标准与幂的包容
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2021-08-23 DOI: 10.1007/s40306-021-00447-w
Huy Tài Hà, Ngo Viet Trung
{"title":"Correction to: Membership Criteria and Containments of Powers of Monomial Ideals","authors":"Huy Tài Hà,&nbsp;Ngo Viet Trung","doi":"10.1007/s40306-021-00447-w","DOIUrl":"10.1007/s40306-021-00447-w","url":null,"abstract":"","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40306-021-00447-w","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50506973","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
Odd-degree Rational Irreducible Characters 奇数有理不可约性
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2021-07-28 DOI: 10.1007/s40306-021-00446-x
Pham Huu Tiep, Hung P. Tong-Viet
{"title":"Odd-degree Rational Irreducible Characters","authors":"Pham Huu Tiep,&nbsp;Hung P. Tong-Viet","doi":"10.1007/s40306-021-00446-x","DOIUrl":"10.1007/s40306-021-00446-x","url":null,"abstract":"<div><p>We study finite groups whose rational-valued irreducible characters are all of odd degrees. We conjecture that in such groups, all rational elements must be 2-elements.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40306-021-00446-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50520213","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: 3
A Brief Survey on Pure Cohen–Macaulayness in a Fixed Codimension 简论固定余维中的纯Cohen–Macaulaness
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2021-07-21 DOI: 10.1007/s40306-021-00441-2
M.R. Pournaki, M. Poursoltani, N. Terai, S. Yassemi
{"title":"A Brief Survey on Pure Cohen–Macaulayness in a Fixed Codimension","authors":"M.R. Pournaki,&nbsp;M. Poursoltani,&nbsp;N. Terai,&nbsp;S. Yassemi","doi":"10.1007/s40306-021-00441-2","DOIUrl":"10.1007/s40306-021-00441-2","url":null,"abstract":"<div><p>A concept of Cohen–Macaulay in codimension <i>t</i> is defined and characterized for arbitrary finitely generated modules and coherent sheaves by Miller, Novik, and Swartz in 2011. Soon after, Haghighi, Yassemi, and Zaare-Nahandi defined and studied CM<sub><i>t</i></sub> simplicial complexes, which is the pure version of the abovementioned concept and naturally generalizes both Cohen–Macaulay and Buchsbaum properties. The purpose of this paper is to survey briefly recent results of CM<sub><i>t</i></sub> simplicial complexes.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40306-021-00441-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50502406","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
On Some (protect overrightarrow {p(x)}) Anisotropic Elliptic Equations in Unbounded Domain 无界域上$protect overrightarrow {p(x)}$各向异性椭圆方程
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2021-07-10 DOI: 10.1007/s40306-021-00434-1
Ahmed Aberqi, Benali Aharrouch, Jaouad Bennouna
{"title":"On Some (protect overrightarrow {p(x)}) Anisotropic Elliptic Equations in Unbounded Domain","authors":"Ahmed Aberqi,&nbsp;Benali Aharrouch,&nbsp;Jaouad Bennouna","doi":"10.1007/s40306-021-00434-1","DOIUrl":"10.1007/s40306-021-00434-1","url":null,"abstract":"<div><p>We study a class of nonlinear elliptic problems with Dirichlet conditions in the framework of the Sobolev anisotropic spaces with variable exponent, involving an anisotropic operator on an unbounded domain <span>({varOmega }subset mathbb {R}^{N} (N geq 2))</span>. We prove the existence of entropy solutions avoiding sign condition and coercivity on the lower order terms.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40306-021-00434-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47078173","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
Zeros of Differential Polynomials of Meromorphic Functions 亚纯函数微分多项式的零
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2021-07-07 DOI: 10.1007/s40306-021-00442-1
Ta Thi Hoai An, Nguyen Viet Phuong
{"title":"Zeros of Differential Polynomials of Meromorphic Functions","authors":"Ta Thi Hoai An,&nbsp;Nguyen Viet Phuong","doi":"10.1007/s40306-021-00442-1","DOIUrl":"10.1007/s40306-021-00442-1","url":null,"abstract":"<div><p>Let <i>f</i> be a transcendental meromorphic function on <span>(mathbb {C},)</span> <i>k</i> be a positive integer, and <span>(Q_{0},Q_{1},dots ,Q_{k})</span> be polynomials in <span>(mathbb {C}[z])</span>. In this paper, we will prove that the frequency of distinct poles of <i>f</i> is governed by the frequency of zeros of the differential polynomial form <span>(Q_{0}(f)Q_{1}(f^{prime }){dots } Q_{k}(f^{(k)}))</span> in <i>f</i>. We will also prove that the Nevanlinna defect of the differential polynomial form <span>(Q_{0}(f)Q_{1}(f^{prime }){dots } Q_{k}(f^{(k)}))</span> in <i>f</i> satisfies \u0000</p><div><div><span>$$ sumlimits_{ainmathbb{C}}deltaleft( a,Q_{0}(f)Q_{1}(f^{prime}){dots} Q_{k}left( f^{(k)}right)right)leq 1$$</span></div></div><p>\u0000with suitable conditions on <i>k</i> and the degree of the polynomials. Thus, our work is a generalization of Mues’s conjecture and Goldberg’s conjecture for the more general differential polynomials.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40306-021-00442-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50459486","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
Comparisons Between Annihilators of Tor and Ext Tor和Ext的湮灭子比较
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2021-07-07 DOI: 10.1007/s40306-021-00443-0
Souvik Dey, Ryo Takahashi
{"title":"Comparisons Between Annihilators of Tor and Ext","authors":"Souvik Dey,&nbsp;Ryo Takahashi","doi":"10.1007/s40306-021-00443-0","DOIUrl":"10.1007/s40306-021-00443-0","url":null,"abstract":"<div><p>In this paper, we compare annihilators of Tor and Ext modules of finitely generated modules over a commutative noetherian ring. For local Cohen–Macaulay rings, one of our results refines a theorem of Dao and Takahashi.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40306-021-00443-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42615874","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: 2
General Variational Inequalities: Existence of Solutions, Tikhonov-Type Regularization, and Well-posedness 一般变分不等式:解的存在性、tikhonov型正则化和适定性
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2021-07-06 DOI: 10.1007/s40306-021-00435-0
Tran Van Nghi, Nguyen Nang Tam
{"title":"General Variational Inequalities: Existence of Solutions, Tikhonov-Type Regularization, and Well-posedness","authors":"Tran Van Nghi,&nbsp;Nguyen Nang Tam","doi":"10.1007/s40306-021-00435-0","DOIUrl":"10.1007/s40306-021-00435-0","url":null,"abstract":"<div><p>In this paper, we present necessary and sufficient conditions for existence and uniqueness of solutions of general variational inequalities (GVIs). A Tikhonov-type regularization method to find a solution of GVIs is proposed. Finally, under suitable conditions, we prove that the well-posedness of a GVI is equivalent to the solution existence and uniqueness. The obtained results are compared with the previous ones. In particular, our results generalize corresponding ones for inverse variational inequalities.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40306-021-00435-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45444795","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: 4
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