Some Study of Semigroups of$\mathbf{h}$-Bi-Ideals of Semirings

Abstract

Semigroups are generalizations of groups and rings. In the semigroup theory, there are certain kinds of band decompositions which are useful in the study of the structure of semigroups. This research will open up new horizons in the field of mathematics by aiming to use semigroup of h -bi-ideal of semiring with semilattice additive reduct. With the course of this research, it will prove that subsemigroup, the set of all right h -bi-ideals, and set of all left h -bi-ideals are bands for h -regular semiring. Moreover, it will be demonstrated that if semigroup of all h -bi-ideals B H , ∗ is semilattice, then H is h -Clifford. This research will also explore the classification of minimal h -bi-ideal.

Retracted: Some Study of Semigroups of h‐Bi‐Ideals of Semirings

“…This article has been retracted by Hindawi following an investigation undertaken by the publisher [ 1 ]. This investigation has uncovered evidence of one or more of the following indicators of systematic manipulation of the publication process: Discrepancies in scope Discrepancies in the description of the research reported Discrepancies between the availability of data and the research described Inappropriate citations Incoherent, meaningless and/or irrelevant content included in the article Peer-review manipulation …”

“…This article has been retracted by Hindawi following an investigation undertaken by the publisher [1]. This investigation has uncovered evidence of one or more of the following indicators of systematic manipulation of the publication process:…”