Interplay of Covered Quasi Ideals and Quasi Bases in Semigroup Theory
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Keywords:
Covered quasi ideal, Greatest Covered quasi ideal, Maximal ideal, Quasi base; SemigroupAbstract
This research article introduces and investigates the concepts of covered quasi ideals and quasi bases within the context of semigroup theory—a fundamental field of study in algebra. Covered quasi ideals represent a novel subset of semigroups, offering a versatile perspective that extends beyond conventional ideals, enabling a more flexible analysis of semigroup structures. In this paper, we delve into the properties and attributes of covered quasi ideals, providing a comprehensive exploration of their characteristics. Additionally, we establish intricate relationships between covered ideals, the greatest ideal, covered quasi ideals, and quasi bases, shedding light on the interconnections among these fundamental elements within the realm of semigroup theory.
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