Title: Distributive Lattice Characterized by a Class of Idempotent Semirings
Abstract: A class of idempotent semirings which can be showed distributive lattice,i.e.,multiplicative band semirings which additive reducts are semilattice are studied in this paper.Some properties of multiplicative bond semirings are obtained by Green-D relation.We also proved S∈ +S,S is multiplicative band semirings if and only if S is distributive lattice.The characterization for structure of distributive lattice is obtained.
Publication Year: 2007
Publication Date: 2007-01-01
Language: en
Type: article
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