Some remarks on Mackey functors

S Kriz - arXiv preprint arXiv:2205.12192, 2022 - arxiv.org
The purpose of this paper is mainly to record how certain homotopy-theoretical constructions
on ordinary G-equivariant cohomology spectra HM for a Mackey functor M, in particular …

Invariants of linkage of modules

TJ Puthenpurakal - arXiv preprint arXiv:1512.05105, 2015 - arxiv.org
Let $(A,\mathfrak {m}) $ be a Gorenstein local ring and let $ M, N $ be two Cohen-
Macaulay\$ A $-modules with $ M $ linked to $ N $ via a Gorenstein ideal $\mathfrak {q} …

On extensions of modules

J Striuli - Journal of Algebra, 2005 - Elsevier
In this paper we study closely Yoneda's correspondence between short exact sequences
and the Ext1 group. We prove a main theorem which gives conditions on the splitting of a …

On the ring of relative constructible functions

L Fiorot, TM Fernandes - arXiv preprint arXiv:2310.10313, 2023 - arxiv.org
We introduce and study the notions of relative constructible functions and relative Euler-
Poincar\'e index which are natural generalizations of their analogs in the absolute case. We …

Generalization of U-Generator and M-Subgenerator Related to Category σ [M]

F Fitriani, I Emilia Wijayanti… - Journal of …, 2018 - repository.lppm.unila.ac.id
Let $\mathcal {U} $ be a non-empty set of $ R $-modules. $ R $-module $ N $ is generated
by $\mathcal {U} $ if there is an epimorphism from $\oplus_ {\Lambda} U_ {\lambda} $ to $ N …

A note on endomorphisms of local cohomology modules

W Mahmood, Z Zahid - arXiv preprint arXiv:1405.1249, 2014 - arxiv.org
Let $ I $ denote an ideal of a local ring $(R,\mathfrak {m}) $ of dimension $ n $. Let $ M $
denote a finitely generated $ R $-module. We study the endomorphism ring of the local …

[PDF][PDF] A Schreier type property for modules

T Dumitrescu, M Epure - arXiv preprint arXiv:2204.09784, 2022 - arxiv.org
arXiv:2204.09784v1 [math.AC] 20 Apr 2022 Page 1 arXiv:2204.09784v1 [math.AC] 20 Apr
2022 A SCHREIER TYPE PROPERTY FOR MODULES TIBERIU DUMITRESCU AND MIHAI …

d-Transform Functor and Some Finiteness and Isomorphism Results

N Zamani, MH Bijan-Zadeh… - Vietnam Journal of …, 2014 - Springer
Let R be a Noetherian ring, M be an R-module and let d be a non-negative integer. We
introduce the R-module U d (M) and the functor T d (−) on the category of R-modules …

[PDF][PDF] EXT-GROUPS, DOLD k-INVARIANT AND FORMALITY

P Van Tuan - viasm.edu.vn
EXT-GROUPS, DOLD k-INVARIANT AND FORMALITY Contents Introduction 1
Acknowledgments 2 1. Postnikov tower and k-invariant 2 1.1. P Page 1 EXT-GROUPS, DOLD …

Comparisons between annihilators of Tor and Ext

S Dey, R Takahashi - Acta Mathematica Vietnamica, 2022 - Springer
Comparisons Between Annihilators of Tor and Ext | Acta Mathematica Vietnamica Skip to main
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