Strongly gorenstein flat modules
WebAug 1, 2007 · A module is finitely generated strongly Gorenstein projective if, and only if, it is finitely presented strongly Gorenstein flat. Corollary If R is integral domain or local, then a … http://arxiv-export3.library.cornell.edu/pdf/1301.5573v2
Strongly gorenstein flat modules
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WebJul 8, 2011 · Strongly Gorenstein flat modules and dimensions Najib Mahdou & Mohammed Tamekkante Chinese Annals of Mathematics, Series B 32 , 533–548 ( 2011) Cite this article 106 Accesses 17 Citations Metrics Abstract There is a variety of nice results about strongly Gorenstein flat modules over coherent rings. These results are done by Ding, Lie and Mao. WebAug 1, 2007 · In this section we introduce and study the strongly Gorenstein projective and injective modules which are defined as follows: Definition 2.1 A complete projective resolution of the form P = ⋯ f P f P f P f ⋯ is called strongly complete projective resolution and denoted by ( P, f).
WebOct 15, 2013 · In the Gorenstein homological algebra one replaces projective, injective and flat modules, the elementary entities on which the classical homological algebra is based, with the Gorenstein projective, Gorenstein injective and Gorenstein flat modules. WebProof. By induction on m, we may assume m = 2. First note that R1 × R2 is coherent since R1 and R2 are coherents. Assume that every Gorenstein flat R1 × R2 -module is strongly Gorenstein flat and let M be a G-flat R1 …
WebSome properties of strong Ding projective ,injective and flat modules are studied and some connections between strong Ding projective ,injective and flat modules are discussed . At last, these properties under change of rings are considered. ... Strongly Gorenstein projective, injective and flat modules. J. Algebra Vol. 320(7), pp.2659-2674(2008). WebMoved Permanently. Redirecting to /core/journals/bulletin-of-the-australian-mathematical-society/article/strongly-gorenstein-flat-modules-over-group-rings
Webmodules. Some examples are given to show that strongly Gorenstein flat modules over coherent rings lie strictly between projective modules and Gorenstein flat modules. The …
WebJan 1, 2001 · Contents: Cotorsion theories; Homological dimensions of rings; Gorenstein injective and projective modules; Gorenstein flat modules; Gorenstein flat modules over Gorenstein rings; Gorenstein flat module over n-FC rings; Gorenstein flat modules over Cohen-Macaulay rings; Gorenstein flat graded moduls; Gorenstein coflat comodules; … thai golden bell restaurant newmarketWebAug 5, 2013 · We introduce the notion of strongly ω -Gorenstein modules, where ω is a faithfully balanced self-orthogonal module. This gives a common generalization of both Gorenstein projective (injective) modules and ω-Gorenstein modules. ... N.Mahdou, Strongly Gorenstein projective, injective and flat modules, J.Pure Appl. Algebra 210 (2007) 437 … thai gold earringsWebStrongly Gorenstein flat and Gorenstein FP-injective modules Chunhua Yang Mathematics 2013 In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-injective) modules which are special Gorenstein projective (resp. Gorenstein injective) modules, and use… Expand 7 PDF View 1 excerpt, cites background Save Alert 1 symptoms of stye on upper eyelidWebJun 1, 2009 · In this paper, strongly Gorenstein flat modules are introduced and investigated. An R-module M is called strongly Gorenstein flat if there is an exact … thai gold coins good investmenthttp://just-cn.ustc.edu.cn/EN/abstract/abstract888.shtml thai golden bell menuWebApr 26, 2009 · Strongly. -Gorenstein projective, injective and flat modules. This paper generalize the idea of the authors in \cite {Bennis and Mahdou1}. Namely, we define and … symptoms of stuffy noseWebAbstract: The notion of X -strongly Gorenstein projective module was defined. It was proved that a module is X -Gorenstein projective if and only if it is a direct summand of some X -strongly Gorenstein projective module. Furthermore, some basic properties of X -strongly Gorenstein modules were obtained. thai gold curry recipes