36 citations · 46 across the 7 of their papers we have counts for
8 papers
Some homological aspects of idempotents in idempotented algebras
Arnab Mitra, Rishi Vyas
We study special idempotents (as described by Bushnell and Kutzko) and split idempotents in the context of module and derived categories for idempotented algebras. We then characte…
Weakly stable torsion classes
Rishi Vyas
Weakly stable torsion classes were introduced by the author and Yekutieli to provide a torsion theoretic characterisation of the notion of weak proregularity from commutative algeb…
Elementary equivalence in Artin groups of finite type
Arpan Kabiraj, T. V. H. Prathamesh, Rishi Vyas
Irreducible Artin groups of finite type can be parametrized via their associated Coxeter diagrams into six sporadic examples and four infinite families, each of which is further pa…
Weak Proregularity, Weak Stability, and the Noncommutative MGM Equivalence
Rishi Vyas, Amnon Yekutieli
Let A be a commutative ring, and let \a = \frak{a} be a finitely generated ideal in it. It is known that a necessary and sufficient condition for the derived \a-torsion and \a-adic…
Torsion, torsion length and finitely presented groups
Maurice Chiodo, Rishi Vyas
We show that a construction by Aanderaa and Cohen used in their proof of the Higman Embedding Theorem preserves torsion length. We give a new construction showing that every finite…
A note on torsion length
Maurice Chiodo, Rishi Vyas
We construct a 2-generator recursively presented group with infinite torsion length. We also explore the construction in the context of solvable and word-hyperbolic groups.
A homological reformulation of the link condition
Rishi Vyas
We prove an equivalent condition for the existence of a link between prime ideals in terms of the structure of a certain cohomology module. We use this formulation to answer an ope…
Ore localization and minimal injective resolutions
Rishi Vyas
In this paper, we describe the structure of the localization of Ext^{i}_{R}(R/P,M), where P is a prime ideal and M is a module, at certain Ore sets X. We first study the situation…