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Properties of Unit Regular Inverse Monoids

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.

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