JP Journal of Algebra, Number Theory and Applications
Volume 38, Issue 6, Pages 569 - 588
(December 2016) http://dx.doi.org/10.17654/NT038060569 |
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CHARACTERIZING INTRA-REGULAR POSEMIGROUPS AND POSEMIRINGS BY HIGH-(QUASI, BI)-IDEALS
M. M. Shamivand and H. Rasouli
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Abstract: In this paper, we study the notions of intra-regular posemigroups and posemirings in terms of their high-quasi-ideals and high-bi-ideals. These generalizations give us certain equivalent conditions which are characterizations for intra-regular posemigroups and posemirings. |
Keywords and phrases: posemigroup, posemiring, intra-regular, high-quasi-ideal, high-bi-ideal. |
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