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math.KT2021
Salamander lemma for non-abelian group-like structures
Amartya Goswami
It is well known that the classical diagram lemmas of homological algebra for abelian groups can be generalized to non-abelian group-like structures, such as groups, rings, algebra…
math.KT2021
L-homologies of double complexes
Amartya Goswami
The notion of L-homologies (of double complexes) as proposed in this paper extends the notion of classical horizontal and vertical homologies, along with two other new homologies i…
math.AC2021
A Zariski-like topology on the ideal spectrum of a ring
Amartya Goswami
The purpose of this paper is to introduce a Zariski-like topology on the spectrum of all proper ideals of a ring. We show that the space is T_0, quasi-compact, and every irreducibl…