Results 21 to 30 of about 25,785 (225)
Maranda’s theorem for pure-injective modules and duality
Canadian Journal of Mathematics, 2022 AbstractLet R be a discrete valuation domain with field of fractions Q and maximal ideal generated by $\pi $ . Let $\Lambda $ be an R-order such that $Q\Lambda $ is a separable Q-algebra. Maranda showed that there exists $k\in \mathbb {N}$ such that for all $\Lambda $ -lattices L and M, if $L/L\pi ^k\simeq M/M\pi ^k$ , then $L\simeq M ...
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Σ-pure-injective modules for string algebras and linear relations [PDF]
Journal of Algebra, 2018 We prove that indecomposable $ $-pure-injective modules for a string algebra are string or band modules. The key step in our proof is a splitting result for infinite-dimensional linear relations.
Raphael Bennett-Tennenhaus +1 more
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, 2011 In this paper, we give some characterizations of FP-grinjective R-modules and graded right R-modules of FP-gr-injective dimension at most n. We study the existence of FP-gr-injective envelopes and FP-gr-injective covers.
Liu, Zhongkui, Yang, Xiaoyan
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Almost dual pairs and definable classes of modules [PDF]
, 2013 Holm (H. Holm, Modules with cosupport and injective functors, Algebr. Represent. Theor., 13 (2010), 543-560) considers categories of right modules dual to those with support in a set of finitely presented modules. We extend some of his results by placing
Mehdi, Akeel Ramadan, Prest, Mike
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The Existence of Relative pure Injective Envelopes
, 2013 Let $\mathcal{S}$ be a class of finitely presented $R$-modules such that $R\in \mathcal{S}$ and $\mathcal{S}$ has a subset $\mathcal{S}^*,$ with the property that for any $U\in \mathcal{S}$ there is a $U^*\in \mathcal{S}^*$ with $U^*\cong U.$ We show ...
Divaani-Aazar, Kamran +1 more
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Modules with RD-composition series over a commutative ring [PDF]
, 2003 If R is a commutative ring, we prove that every finitely generated module has a pure-composition series with indecomposable factors and any two such series are isomorphic if and only if R is a Bezout ring and a CF ...
Couchot, Francois
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Endomorphism rings of completely pure-injective modules [PDF]
Proceedings of the American Mathematical Society, 1996 Let R R be a ring, E = E ( R R ) E=E(R_R) its injective envelope, S = End ( E R ) S= \operatorname {End}(E_R) and J J the Jacobson radical of
Gómez Pardo, José L. +1 more
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Gorenstein injective envelopes and covers over two sided noetherian rings [PDF]
, 2016 We prove that the class of Gorenstein injective modules is both enveloping and covering over a two sided noetherian ring such that the character modules of Gorenstein injective modules are Gorenstein flat.
Iacob, Alina
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Module categories for group algebras over commutative rings [PDF]
, 2012 We develop a suitable version of the stable module category of a finite group G over an arbitrary commutative ring k. The purpose of the construction is to produce a compactly generated triangulated category whose compact objects are the finitely ...
Benson, Dave +3 more
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On subinjectivity domains of pure-injective modules [PDF]
Rocky Mountain Journal of Mathematics, 2021 As an alternative perspective on the injectivity of a pure-injective module, a pure-injective module M is said to be pi-indigent if its subinjectivity domain is smallest possible, namely, consisting of exactly the absolutely pure modules. A module M is called subinjective relative to a module N if for every extension K of N, every homomorphism N \to M ...
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