2017•DEStech Transactions on Engineering and Technology ResearchOpen access

One Sided Homomorphism and One Sided Congruence

Qing Ma, Xue-Lu Zhang

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Abstract

The congruence on semigroup and the homomorphism of semigroup play an important role in the study of semigroup. As a generalization of congruence and homomorphism, in this paper we give the definition of one sided congruence and one sided homomorphism, and obtain the largest congruence contained in some one sided congruence.

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What this paper is about

The congruence on semigroup and the homomorphism of semigroup play an important role in the study of semigroup. As a generalization of congruence and homomorphism, in this paper we give the definition of one sided congruence and one sided homomorphism, and obtain the largest congruence contained in some one sided congruence.

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Available abstract

The congruence on semigroup and the homomorphism of semigroup play an important role in the study of semigroup. As a generalization of congruence and homomorphism, in this paper we give the definition of one sided congruence and one sided homomorphism, and obtain the largest congruence contained in some one sided congruence.

Key concepts: Homomorphism, Congruence (geometry), Mathematics, Semigroup, Generalization, Algebra homomorphism, Pure mathematics, Discrete mathematics

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