2009•Journal of Gannan Normal UniversityRequires access

The Least Distributive Lattice Congruence on a Class of Semirings

Junqing Feng

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Abstract

Congruence is a major tool in studying of semiring's structure and distributive lattice is a special semiring.In this paper,a congruence on a commutative distributive semiring is defined by using of a style of congruence in reference[3].Moreover,the result that the congruence is the least distributive lattice congruence is proved.

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Congruence is a major tool in studying of semiring's structure and distributive lattice is a special semiring.In this paper,a congruence on a commutative distributive semiring is defined by using of a style of congruence in reference[3].Moreover,the result that the congruence is the least distributive lattice congruence is proved.

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Available abstract

Congruence is a major tool in studying of semiring's structure and distributive lattice is a special semiring.In this paper,a congruence on a commutative distributive semiring is defined by using of a style of congruence in reference[3].Moreover,the result that the congruence is the least distributive lattice congruence is proved.

Key concepts: Distributive property, Semiring, Congruence (geometry), Congruence lattice problem, Distributive lattice, Congruence relation, Mathematics, Pure mathematics

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