Idempotent semirings with a commutative additive reduct

被引：56
|
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
收藏
页码：289 / 296
页数：8
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