On Regular Seminear rings

Abstract

In this paper mainly we have obtained equivalent conditions on skew semi rings, regular semi near rings and Idempotent semi near rings. Key words:skew semi rings, regular semi near rings and Idempotent semi near rings. introduction:-In this paper we obtained certain Identities on regular semi near rings and also we have obtained certain equivalences on semi near rings,regular semi near ring, and Idempotent semi near rings. We also obtained results such as x +x ≈ x, xy + yx + xy ≈ xy , y +yx + y ≈ y, xyx + xy + xyx ≈ xyx, yxy + xyx + yxy ≈ yxy, x + xyx + x ≈ x using the identities xx ≈ x, x + xy + x ≈ x, x + yx + x ≈ x. Also by using Greens is relation (i.