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Publication Type : Journal Article
Publisher : Journal of Xi'an University of Architecture & Technology
Source : Journal of Xi'an University of Architecture & Technology, Volume XI, Issue XII, p.1373=1377 (2019)
Url : https://www.xajzkjdx.cn/gallery/143-dec2019.pdf
Campus : Amritapuri
School : School of Arts and Sciences
Department : Mathematics
Year : 2019
Abstract : Let S be a unit regular semigroup with group of units G = G(S) and semilattice of idempotents E = E(S). Then for every x S there is a u G such that x xux. Then both xu and ux are idempotents and we can write x u 1 uxor x xuu 1 .Thus every element of a unit regular inverse monoid is a product of a group element and an idempotent. It is evident that every Lclass and every R-class of an inverse semigroup contains exactly one idempotent where L and R are two of Greens relations. In this paper we study about some properties of unit regular inverse monoids.
Cite this Research Publication : Dr. Sreeja V. K., “Properties of Unit Regular Inverse Monoids”, Journal of Xi'an University of Architecture & Technology, vol. XI, no. XII, p. 1373=1377, 2019.