[PDF][PDF] Reflexivity revisited

M Asgharzadeh - arXiv preprint arXiv:1812.00830, 2018 - arxiv.org
arXiv:1812.00830v6 [math.AC] 14 Dec 2022 Page 1 arXiv:1812.00830v6 [math.AC] 14 Dec
2022 REFLEXIVITY REVISITED MOHSEN ASGHARZADEH Abstract. We study some aspects of …

Independence of the total reflexivity conditions for modules

DA Jorgensen, LM Şega - Algebras and Representation Theory, 2006 - Springer
Independence of the Total Reflexivity Conditions for Modules Page 1 Algebras and
Representation Theory (2006) 9: 217–226 © Springer 2006 DOI: 10.1007/s10468-005-0559-5 …

A note on reflexive modules.

EE Enochs - 1964 - msp.org
For any ring A and left (resp. right)^.-module E we let E* denote the right (resp, left) A-
module HomA {E, A8)(resp. Hom^(E, Ad)) where A8 (resp. Ad) denotes A considered as a …

[PDF][PDF] Induced two-crossed modules

UE Arslan, Z Arvasi, G Onarli - arXiv preprint arXiv:1107.4291, 2011 - researchgate.net
arXiv:1107.4291v1 [math.AT] 21 Jul 2011 Page 1 arXiv:1107.4291v1 [math.AT] 21 Jul 2011
Induced Two-Crossed Modules UE Arslan, Z. Arvasi and G. Onarlı Abstract We introduce the …

Transitivity of perspectivity

D Khurana, PP Nielsen - Algebras and Representation Theory, 2021 - Springer
We study modules in which perspectivity of summands is transitive. Generalizing a 1977
result of Handelman and a 2014 result of Garg, Grover, and Khurana, we prove that for any …

Finitely generated reflexive modules over coherent domains

W Fanggui, RL McCasland - Communications in Algebra, 1995 - Taylor & Francis
$0. Introduction. In this paper we shall give some relat~ ons between reflexive submodules
of a finitely generated module over a coherent domain and its primary submodules. Let R be …

Behavior of countably generated pure-projective modules

G AzumAYA - Publicacions matematiques, 1992 - JSTOR
We first prove that every countably presented module is a pure epimorphic image of a
countably generated pure-projective module, and by using this we show that if every …

A note on cancellation of reflexive modules

NM Kumar - arXiv preprint math/0210066, 2002 - arxiv.org
arXiv:math/0210066v1 [math.AC] 4 Oct 2002 Page 1 arXiv:math/0210066v1 [math.AC] 4 Oct
2002 A NOTE ON CANCELLATION OF REFLEXIVE MODULES N. MOHAN KUMAR 1 …

Matlis reflexive modules on complete rings

P Jara, E Santos - Journal of Pure and Applied Algebra, 1996 - Elsevier
In this paper we relate the completion introduced in [Bueso et al.(1994)] with the double
dual, proving that if M is a σ-finitely generated R-module, then both notions coincide. In the …

Brauer–Thrall for totally reflexive modules

LW Christensen, DA Jorgensen, H Rahmati, J Striuli… - Journal of Algebra, 2012 - Elsevier
Let R be a commutative noetherian local ring that is not Gorenstein. It is known that the
category of totally reflexive modules over R is representation infinite, provided that it …