Soft ıntersectıon almost subsemıgroups of semıgroups

Abstract

Semigroups are the building blocks of algebra as they have application in automata, coding theostract S emigroupsare the building blocks of algebra as they have application in automata c ory, formal languages, and theoretical computer science. They are also used in the solutions of graph theory and optimization theory.For the advanced study of algebraic structures and their applications, ideals are fo malAl gage and th o etical comp ter ci nce They re also used in the s l tio s f graph t pti i tin they F th adv d st dy f lgeb ic tu ture d th ppli ati s,id essential. The generalization of ideals in algebraic structures is necessary for further research on algebraic structures. The main purpose of this paper is to present the notion of soft intersection almost subsemigroup ial Th g lizati n f d ls i lg b aic tr t reins y f fu th r a ch on lg of a semigroup, which is a generalization of soft intersection subsemigroup and investigate its basic pros Th main pu po f thi p pe i o p heAn i n of oft int r i n lm t bs mig perties in detail. In this context, we also obtain many striking relationships between almost subsemigroups g oup,which is a gene ali ato of s ft i te secto subsemig oup a d i vestigate its basic pope and soft intersection almost subsemigroups concerning minimality, primeness, semiprimeness and strongly primeness.