Structure of zero-divisors in Artinian rings and associated graphs
Implementing Organization
Savitribai Phule Pune University
Principal Investigator
Dr. Ganesh S Kadu
Assistant Professor
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Savitribai Phule Pune University
CO-Principal Investigator
Prof. Vinayak Vishnupant Joshi
Savitribai Phule Pune University
About
Artinian rings, Noetherian rings of Krull dimension zero, are a central part of algebra and geometry. I. Beck introduced the concept of zero-divisor graphs associated to commutative rings in 1988. The proposed research aims to study graphs associated to Artinian rings, specifically Gorenstein Artinian rings. The study will focus on multilinear forms, zero-divisor graphs, and determining automorphism groups of these graphs. The goal is to understand the interplay between algebraic aspects and graph theoretic aspects.
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Savitribai Phule Pune University
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