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Flat modules over formal matrix rings

WebOct 10, 2024 · Throughout, rings mean a ring with unity and an - module mean a left - module. Let be a ring. Let be an - module, then the projective (injective and flat) dimension of will be denoted by ( and ). The class of modules isomorphic to direct summands of direct sums of copies of is denoted by . WebOct 22, 2010 · Modules over formal matrix rings P. A. Krylov & A. A. Tuganbaev Journal of Mathematical Sciences 171 , 248–295 ( 2010) Cite this article 272 Accesses 27 Citations Metrics Abstract This work contains some new and known results on modules over formal matrix rings. The main results are presented with proofs. Download to read the full …

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WebMar 3, 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site WebJun 1, 2024 · Formal triangular matrix rings play an important role in ring theory and the representation theory of algebra. This kind of rings are often used to construct important examples and counterexamples, which make the theory of rings and modules more abundant and concrete. first presbyterian church of barberton https://omnimarkglobal.com

$$\Omega $$-Gorenstein Modules over Formal Triangular Matrix Rings …

WebDec 15, 2024 · Let be a formal triangular matrix ring, where and are rings and is a -bimodule. We prove that: (1) If and have finite flat dimensions, then a left -module is … WebAbstract. Let T=\bigl (\begin {smallmatrix}A&0\\U&B\end {smallmatrix}\bigr) T = (A U 0 B) be a formal triangular matrix ring, where A A and B B are rings and U U is a (B, A) (B,A) -bimodule. We prove: (1) If U_ {A} U A and _ {B}U BU have finite flat dimensions, then a left T T -module \bigl (\begin {smallmatrix}M_1\\ M_2\end {smallmatrix}\bigr ... WebApr 6, 2024 · Abstract: n -Ding modules are investigated under the formal lower triangular matrix ring T = A 0 U B ， where A and B are rings， U is a ( B, A) -bimodule. It is proved that （i） If U A has finite flat dimension， B U is flat and M = M 1 M 2 φ M is a n -Ding projective left T -module， then M 1 is a ( n - 1) -Ding projective left A ... first presbyterian church of barnet

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Flat modules over formal matrix rings

$$\Omega $$-Gorenstein Modules over Formal Triangular Matrix Rings …

WebKey Words: Formal triangular matrix ring, strongly Gorenstein projective module, strongly Gorenstein injective module, strongly Gorenstein flat module. 2010 Mathematics Subject Classification: Primary 16D40, 16D90, 16E05. Download the paper in pdf format WebWe would like to show you a description here but the site won’t allow us.

Flat modules over formal matrix rings

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WebDec 15, 2024 · Let be a formal triangular matrix ring, where and are rings and is a -bimodule. We prove that: (1) If and have finite flat dimensions, then a left -module is Ding projective if and only if and are Ding projective and the morphism is a monomorphism. WebMar 31, 2024 · We set out the basic theory of modules over formal matrix rings and consider the structure of some submodules (small and essential submodules, the socle and the radical). We pay much attention to injective, flat and projective modules over formal matrix rings of order 2.

Web形式三角矩阵环上的PGF 模PGF Modules over Formal Triangular Matrix Rings-来源：理论数学（第2024011期）-汉斯出版社.pdf 9页 VIP 内容提供方 ： 汉斯出版社 大小 ： 554.62 KB WebLet A and B be rings, U a (B, A)-bimodule and T = A 0 U B be a triangular matrix ring. We first give an explicit description for Gorenstein injective T-modules over the triangular matrix ring T, and then construct a (right) recollement of stable categories of Gorenstein injective modules.

WebApr 1, 2024 · Gorenstein flat modules and dimensions over formal triangular matrix rings Recall that a left R -module M is Gorenstein flat [4], [5] if there is an exact sequence ⋯ … WebPURE PROJECTIVITY AND PURE INJECTIVITY OVER FORMAL TRIANGULAR MATRIX RINGS. Journal of Algebra and Its Applications, Vol. 11, Issue. 06, p. 1250107. ... more advanced topics, such as hereditary rings, categories and functors, flat modules and purity are introduced. These later chapters will also prove a useful reference for researchers in …

WebMar 24, 2024 · A module M over a unit ring R is called flat iff the tensor product functor - tensor _RM (or, equivalently, the tensor product functor M tensor _R-) is an exact …

http://xuebao.sysu.edu.cn/Jweb_zrb/EN/10.13471/j.cnki.acta.snus.2024A023 first presbyterian church of austinWebJan 20, 2006 · So the properties of formal triangular matrix rings and modules over them have attracted many interests (see [1, 2,8,9,10,13,14,16]). These investigations usually focus to build some special... first presbyterian church of aurora coWebMar 31, 2024 · We set out the basic theory of modules over formal matrix rings and consider the structure of some submodules (small and essential submodules, the socle and the radical). We pay much... first presbyterian church of bethlehemWebJan 1, 2024 · We set out the basic theory of modules over formal matrix rings and consider the structure of some submodules (small and essential submodules, the socle … first presbyterian church of bataviaWebGORENSTEIN FLAT-COTORSION MODULES OVER FORMAL TRIANGULAR MATRIX RINGS Dejun Wu Abstract. Let A and B be rings and U be a (B;A)-bimodule. If BU has … first presbyterian church of bloomsburgWebAug 5, 2024 · Search 211,147,329 papers from all fields of science. Search. Sign In Create Free Account Create Free Account first presbyterian church of blairstown njWebJan 1, 2024 · PDF On Jan 1, 2024, 淑娴 薛 published PGF Modules over Formal Triangular Matrix Rings Find, read and cite all the research you need on ResearchGate first presbyterian church of brawley