Results 21 to 30 of about 25,785 (225)
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
core +1 more source
Two characterizations of pure injective modules [PDF]
Proceedings of the American Mathematical Society, 2006 Let R R be a commutative ring with identity and D D an R R -module. It is shown that if D D is pure injective, then D D is isomorphic to a direct summand of the direct product of a family of finitely embedded modules.
Kamran Divaani-Aazar +2 more
openaire +1 more source
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
core +1 more source
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
core +4 more sources
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
core +3 more sources
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 ...
openaire +4 more sources
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
core +2 more sources
Peroxidasin enables melanoma immune escape by inhibiting natural killer cell cytotoxicity
Molecular Oncology, EarlyView.Peroxidasin (PXDN) is secreted by melanoma cells and binds the NK cell receptor NKG2D, thereby suppressing NK cell activation and cytotoxicity. PXDN depletion restores NKG2D signaling and enables effective NK cell–mediated melanoma killing. These findings identify PXDN as a previously unrecognized immune evasion factor and a potential target to improve
Hsu‐Min Sung +17 more
wiley +1 more source
RD-flatness and RD-injectivity
, 2006 It is proved that every commutative ring whose RD-injective modules are $\Sigma$-RD-injective is the product of a pure semi-simple ring and a finite ring.
François Couchot, Fuchs L., Renault G.
core +4 more sources
RIPK4 function interferes with melanoma cell adhesion and metastasis
Molecular Oncology, EarlyView.RIPK4 promotes melanoma growth and spread. RIPK4 levels increase as skin lesions progress to melanoma. CRISPR/Cas9‐mediated deletion of RIPK4 causes melanoma cells to form less compact spheroids, reduces their migratory and invasive abilities and limits tumour growth and dissemination in mouse models.
Norbert Wronski +9 more
wiley +1 more source