Idempotent semirings with a commutative additive reduct

被引：57

作者：

Zhao, XZ ^{[1
]}

机构：

[1] NW Univ Xian, Dept Math, Xian 710069, Shaanxi, Peoples R China

来源：

SEMIGROUP FORUM | 2002年 / 64卷 / 02期

关键词：

Induction Hypothesis; Nonempty Subset; Univeral Algebra; Additive Reduct; Congruence Relation;

D O I：

10.1007/s002330010048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For every semigroup S, we define a congruence relation rho on the power semiring (P(S),boolean OR,o) of S. If S is a band, then P(S)/rho is an idempotent semiring. This enables us to find models for the free objects in the variety of idempotent semirings whose additive reduct is a semilattice.

引用

页码：289 / 296

页数：8