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…
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 …
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…
… 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. …
… (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 …
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 …
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 …
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 …
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 …
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-…
modules in the Bass class with respect to a semidualizing … M is a right acyclic complex of GC-…