On Gerko's Strongly Tor-independent Modules
H Altmann, K Sather-Wagstaff - … Algebra: Proceedings of the 2019 WICA …, 2021 - Springer
Gerko proves that if an artinian local ring ( R , 𝔪 R ) \documentclass[12pt]{minimal} \usepackage{amsmath}
\usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} …
\usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} …
Homology of artinian and Matlis reflexive modules, I
B Kubik, MJ Leamer, S Sather-Wagstaff - Journal of Pure and Applied …, 2011 - Elsevier
Let R be a commutative local noetherian ring, and let L and L′ be R-modules. We
investigate the properties of the functors ToriR (L,−) and ExtRi (L,−). For instance, we show …
investigate the properties of the functors ToriR (L,−) and ExtRi (L,−). For instance, we show …
A study of Tate homology via the approximation theory with applications to the depth formula
O Celikbas, L Liang, A Sadeghi, T Sharif - Acta Mathematica Sinica …, 2023 - Springer
In this paper we are concerned with absolute, relative and Tate Tor modules. In the first part
of the paper we generalize a result of Avramov and Martsinkovsky by using the Auslander …
of the paper we generalize a result of Avramov and Martsinkovsky by using the Auslander …
Homological dimensions and semidualizing complexes
AA Gerko - Journal of Mathematical Sciences, 2007 - Springer
For finite modules over a local ring and complexes with finitely generated homology, we
consider several homological invariants sharing some basic properties with projective …
consider several homological invariants sharing some basic properties with projective …
CG torsion pairs
D Bravo, CE Parra - Journal of Algebra and Its Applications, 2019 - World Scientific
We investigate conditions when the t-structure of Happel–Reiten–Smalø associated to a
torsion pair is a compactly generated t-structure. The concept of at CG torsion pair is …
torsion pair is a compactly generated t-structure. The concept of at CG torsion pair is …
[图书][B] Properties of the pinched tensor product
YA Alkhezi - 2014 - search.proquest.com
For complexes of modules we study a new construction, called the pinched tensor product,
which was introduced by Lars Winther Christensen and David A. Jorgensen to study Tate …
which was introduced by Lars Winther Christensen and David A. Jorgensen to study Tate …
Vanishing of local homology
A Frankild - Mathematische Zeitschrift, 2003 - Springer
Mathematische Zeitschrift Page 1 DOI: 10.1007/s00209-003-0515-1 Math. Z. 244, 615–630 (2003)
Mathematische Zeitschrift Vanishing of local homology Anders Frankild Matematisk afdeling …
Mathematische Zeitschrift Vanishing of local homology Anders Frankild Matematisk afdeling …
Direct sums of representations as modules over their endomorphism rings
B Huisgen-Zimmermann, M Saorín - arXiv preprint arXiv:1407.2364, 2014 - arxiv.org
This paper is devoted to the study of the endo-structure of infinite direct sums $\bigoplus_
{i\in I} M_i $ of indecomposable modules $ M_i $ over a ring $ R $. It is centered on the …
{i\in I} M_i $ of indecomposable modules $ M_i $ over a ring $ R $. It is centered on the …
Criteria for vanishing of Tor over complete intersections
O Celikbas, S Iyengar, G Piepmeyer… - Pacific Journal of …, 2015 - msp.org
We exploit properties of Dao's η-pairing (see Trans. Amer. Math. Soc. 365: 6 (2013), 2803–
2821), as well as techniques of Huneke, Jorgensen, and Wiegand (J. Algebra 238: 2 (2001) …
2821), as well as techniques of Huneke, Jorgensen, and Wiegand (J. Algebra 238: 2 (2001) …
[引用][C] My research focuses on commutative algebra; in particular, it concerns the vanishing of the tor-sion functor Tor. This functor originated in the universal …
O CELIKBAS