11 citations · 28 across the 6 of their papers we have counts for
5 papers · 1 filter
A criterion for modules over Gorenstein local rings to have rational Poincaré series
Anjan Gupta
We prove that modules over an Artinian Gorenstein local ring have rational Poincaré series sharing a common denominator if $R/\soc(R)$ is a Golod ring. If is a Gorenstein l…
A Study of Good and Bad Artinian Gorenstein local Rings
Anjan Gupta, Shrikant Shekhar
We say that a local ring is good, in the sense of Roos, if all finitely generated -modules have rational Poincaré series that share a common denominator; otherwise, is s…
Detecting Koszulness and related homological properties from the algebra structure of Koszul homology
Amanda Croll, Roger Dellaca, Anjan Gupta +6
Let be a field and a standard graded -algebra. We denote by the homology algebra of the Koszul complex on a minimal set of generators of the irrelev…
Characterizations of regular local rings via syzygy modules of the residue field
Dipankar Ghosh, Anjan Gupta, Tony J. Puthenpurakal
Let be a commutative Noetherian local ring with residue field . We show that if a finite direct sum of syzygy modules of surjects onto `a semidualizing module' or `a non…
Ascent and descent of the Golod property along algebra retracts
Anjan Gupta
We study ascent and descent of the Golod property along an algebra retract. We characterise trivial extensions of modules, fibre products of rings to be Golod rings. We present a c…