Some results on -flat dimension of modules

R Udhayakumar, I Muchtadi-Alamsyah… - Commentationes …, 2019 - dml.cz
In this paper, we study some properties of $ G_C $-flat $ R $-modules, where $ C $ is a
semidualizing module over a commutative ring $ R $ and we investigate the relation …

Some algebraic and homological properties of a family of quotients of the Rees algebra

M Salek, E Tavasoli, A Tehranian… - Journal of Algebra and Its …, 2019 - World Scientific
Let R be a commutative ring and let I≠ 0 be a proper ideal of R. In this paper, we study
some algebraic and homological properties of a family of rings R (I) a, b, with a, b∈ R, that …

[PDF][PDF] A study of absolute, relative and Tate homology with respect to a semidualizing module

O Celikbas, L Liang, A Sadeghi… - arXiv preprint arXiv …, 2019 - researchgate.net
In this paper we are concerned with absolute, relative and Tate Tor modules with respect to
a fixed semidualizing module over commutative Noetherian local rings. Motivated by a result …

Resolutions and Stability of Gorenstein Classes of Modules

Z Wang - Bulletin of the Malaysian Mathematical Sciences …, 2020 - Springer
Abstract Let XX, UU and ZZ be classes of left R-modules, WW be a class of right R-modules
and X ⊆ UX⊆ U. In this paper, we investigate the relationship between Z Z-proper (resp. Z Z …

SG_C-Projective, Injective and Flat modules

M Parimala, U Ramalingam - Journal of the Indonesian Mathematical …, 2019 - jims-a.org
SGC-PROJECTIVE, INJECTIVE AND FLAT MODULES M. Parimala and R. Udhayakumar
Page 1 J. Indones. Math. Soc. Vol. 25, No. 02 (2019), pp. 108–120. SGC-PROJECTIVE …

Relative tilting modules with respect to a semidualizing module

M Salimi - Czechoslovak Mathematical Journal, 2019 - Springer
Let R be a commutative Noetherian ring, and let C be a semidualizing R-module. The notion
of C-tilting R-modules is introduced as the relative setting of the notion of tilting R-modules …

[PDF][PDF] GORENSTEIN FI-FLAT DIMENSION WITH RESPECT TO A SEMIDUALIZING MODULE.

V Biju, R Udhayakumar, C Selvaraj - Palestine Journal of Mathematics, 2018 - pjm.ppu.edu
This paper presents some properties of GC-FI-flat modules, where C is a semidualizing
module and we investigate the relation between the GC-yoke with the C-yoke of a module …

Strongly Ding projective modules with respect to a semidualizing module

L ZHAO - Chinese Quarterly Journal of Mathematics, 2018 - sxjk.magtechjournal.com
This paper is a study of strongly Ding projective modules with respect to a semidualizing
module. The class of strongly Ding flat modules with respect to a semidualizing module is …

Semidualizing Module and Gorenstein Homological Dimensions

Z Zhang - 2018 - projecteuclid.org
Let C be a semidualizing module over any commutative ring R. We investigate the
semidualizing module C with finite injective dimension. In particular, we obtain some …

[HTML][HTML] The transpose of modules relative to subcategories

Y Zhou, X Zhu - Journal of Algebra, 2017 - Elsevier
Let R be a left noetherian ring and S a right noetherian ring, and let X be a subcategory of
finitely generated left R-modules and BSR a finite (R, S)-bimodule. As a generalization of the …