Characterizing certain semidualizing complexes via their Betti and Bass numbers

K Abolfath Beigi, K Divaani-Aazar… - Communications in …, 2022 - Taylor & Francis
… the dth Bass number of X is one and the other Bass numbers of X … semidualizing complexes
that are either the shifts of the underlying ring or dualizing, via their Betti and Bass numbers

Dual of Bass numbers and dualizing modules

M Rahmani, A Taherizadeh - Communications in Algebra, 2017 - Taylor & Francis
… These notions have been extended to semidualizing complexes by Christensen [5]. A
bounded complex of R-modules C with finitely generated homologies is semidualizing for R if the …

Chains of semidualizing modules

E Amanzadeh - Journal of Algebra and Its Applications, 2018 - World Scientific
Bass series of R have very specific forms. Also, in this case, we show that the Bass numbers
… Sather-Wagstaff, Lower bounds for the number of semidualizing complexes over a local ring…

[PDF][PDF] Distinguishing dualizing modules among semidualizing modules

M Rahmani, AJ Taherizadeh - 2016 - sid.ir
… First, we show that vanishing of appropriate Bass numbers(resp. dual Bass numbers) on the
… (complex). Our aim is to give some necessary and sufficient conditions for C to be dualizing. …

Duality pairs induced by Auslander and Bass classes

Z Huang - Georgian Mathematical Journal, 2021 - degruyter.com
… Enochs and Holm to the category of complexes, and Enochs and Iacob investigated …
semidualizing if and only if it is Wakamatsu tilting [20, Corollary 3.2]. For examples of semidualizing

Pseudo-dualizing complexes and pseudo-derived categories

L Positselski - Rendiconti del Seminario Matematico della Università …, 2020 - ems.press
complex (known as a “semi-dualizing complex” in the literature) interpolates between those
of a dualizing and a dedualizing complex. … that the Auslander and Bass classes of modules …

[PDF][PDF] Suitable chains of semidualizing modules

E Amanzadeh - math.ipm.ac.ir
Bass series of R have very specific forms. Also, in this case we show that the Bass numbers
of … In this talk, we study the category C(Rep(Q,G)) of complexes of representations of quiver Q …

Pseudo-dualizing complexes of bicomodules and pairs of t-structures

L Positselski - Applied Categorical Structures, 2022 - Springer
complexes of bimodules in [23]. The latter are otherwise known as “semi-dualizing complexes
in the … the discussions of the Auslander and Bass classes in [23, Sects. 0.7 and 3] and the …

Semidualizing modules of ladder determinantal rings

SK Sather-Wagstaff, T Se, S Spiroff - arXiv preprint arXiv:1811.01038, 2018 - arxiv.org
… , provides some material on Bass classes. The results on Bass classes will allow us to
establish a lower bound on the number of semidualizing modules of ladder determinantal rings …

Linkage of modules with respect to a semidualizing module

MT Dibaei, A Sadeghi - Pacific Journal of Mathematics, 2018 - msp.org
semidualizing module is introduced. This notion enables us to study the theory of linkage for
modules in the Bass class with respect to a semidualizing … M is a right acyclic complex of GC-…