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2009•Journal of Guangdong Radio & Television UniversityRequires access

On Kernel and Trace of Nonidentical Congruences on Monogenic Inverse Semigroups

Long Wei

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Abstract

Any congruence on a free inverse semigroup has its kernel and trace; congruence couples decide the congruence's construction. So the study of kernel and trace is very important. In this paper, we explore the kernel and trace of nonidentical congruences on monogenic inverse semigroups,and the inclusion relation of these congruences.

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What this paper is about

Any congruence on a free inverse semigroup has its kernel and trace; congruence couples decide the congruence's construction. So the study of kernel and trace is very important. In this paper, we explore the kernel and trace of nonidentical congruences on monogenic inverse semigroups,and the inclusion relation of these congruences.

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Available abstract

Any congruence on a free inverse semigroup has its kernel and trace; congruence couples decide the congruence's construction. So the study of kernel and trace is very important. In this paper, we explore the kernel and trace of nonidentical congruences on monogenic inverse semigroups,and the inclusion relation of these congruences.

Key concepts: Congruence relation, TRACE (psycholinguistics), Congruence (geometry), Kernel (algebra), Inverse semigroup, Inverse, Mathematics, Semigroup

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