Ideal based graph structures for commutative rings

M. I. Jinnah; Shine C. Mathew

doi:10.56754/0719-0646.2402.0333

DOI:

https://doi.org/10.56754/0719-0646.2402.0333

Abstract

We introduce a graph structure \(\Gamma^{\ast}_2(R)\) for commutative rings with unity. We study some of the properties of the graph \(\Gamma^{\ast}_2(R)\). Also we study some parameters of \(\Gamma^{\ast}_2(R)\) and find rings for which \(\Gamma^{\ast}_2(R)\) is split.

Keywords

maximal ideal , idempotent , clique number , domination number , split graph

M. I. Jinnah Formerly of Department of Mathematics, University of Kerala, Kariavattom, Thiruvananthapuram, Kerala, India.
Shine C. Mathew Department of Mathematics, St. Berchmans College, Changanacherry, Kottayam, Kerala, India.

Pages: 333–341
Date Published: 2022-08-22
Vol. 24 No. 2 (2022)

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