2016•DEStech Transactions on Engineering and Technology ResearchRequires access

A Structure of Some Abundant Semigroups

Deju Zhang, Xiaomin Zhang

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Abstract

Semigroup theory is widely applied in many disciplines such as computer science, operation theory and combinatoric mathematics etc.In this paper, we introduce the concept of perfect ♯-abundant semigroups of type C and we overcome the difficulty about results on ♯-abundant which is a little than abundant semigroups,A construction theorem for such semigroups will be given.

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What this paper is about

Semigroup theory is widely applied in many disciplines such as computer science, operation theory and combinatoric mathematics etc.In this paper, we introduce the concept of perfect ♯-abundant semigroups of type C and we overcome the difficulty about results on ♯-abundant which is a little than abundant semigroups,A construction theorem for such semigroups will be given.

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Available abstract

Semigroup theory is widely applied in many disciplines such as computer science, operation theory and combinatoric mathematics etc.In this paper, we introduce the concept of perfect ♯-abundant semigroups of type C and we overcome the difficulty about results on ♯-abundant which is a little than abundant semigroups,A construction theorem for such semigroups will be given.

Key concepts: Semigroup, Special classes of semigroups, Structured program theorem, Krohn–Rhodes theory, Type (biology), Mathematics, Algebra over a field, Pure mathematics

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