论文标题
常规和常规半群中的内部理想
Interior ideal in regular and intra regular semigroup
论文作者
论文摘要
在G.Szasz [2]之后，如果SIS \ subsetI，则称为半群的i子群I被称为内部理想。在本文中，我们通过其内部理想探索了常规的半群及其不同的子类别的类别。此外，我们引入了强烈的素数，素数，半弹药，非常不可还原和不可还原的内部理想，并表征了每个内部理想都是强烈素质的那些半群。这里给出了所有内部理想和其他理想的类别之间的一些重要相互作用。除此之外，我们还通过最小的内部理想来表达对半群的不同特征。
Following G.Szasz [2] a subsemigroup I of semigroup S is called an interior ideal if SIS \subset I. In this paper we explore the classes of regular semigroup and its different subclasses by their interior ideals. Furthermore, we introduce the strongly prime, prime, semiprime, strongly irreducible, and irreducible interior ideals of semigroups and also characterize those semigroups for which each interior ideal is strongly prime. Some important interplay between the classes of all interior ideals and other ideals are given here. In addition to this, we present different characterizations of semigroups by their minimal interior ideals.
