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Idempotent graphs Corresponding to R-strongly unit Regular Monoids

Publication Type : Journal Article

Source : Eur. Chem. Bull. 2023, 12( Issue 8),4882-4886

Url : https://www.eurchembull.com/issue-content/idempotent-graphs-corresponding-to-r-strongly-unit-regular-monoids-9298

Campus : Amritapuri

School : School of Arts and Sciences

Department : Mathematics

Year : 2023

Abstract : If S is a monoid with G as group of units then we can define the relation 𝑅𝐺 on S as follows; x 𝑅𝐺𝑦 if x = yu for some u ∈ G.A unit regular monoid S is said to be R-strongly unit regular if R = 𝑅𝐺 where R is Green’s equivalence on S. In this paper we generate a weighted directed graph namely W corresponding to the set of idempotents of S and we have studied about the properties of weights associated with the edges of W

Cite this Research Publication : Idempotent graphs Corresponding to R-strongly unit Regular Monoids, 2023

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