Distributive lattice decompositions of semirings with a semilattice additive reduct

被引：19

作者：

Bhuniya, A. K. ^{[1
]}

Mondal, T. K. ^{[2
]}

机构：

[1] Visva Bharati, Dept Math, Santini Ketan 731235, W Bengal, India

[2] Dr BN Dutta Smriti Mahavidyalaya, Dept Math, Burdwan 713407, W Bengal, India

来源：

SEMIGROUP FORUM | 2010年 / 80卷 / 02期

关键词：

k-ideal; k-Archimedean semiring; Least distributive lattice congruence; Distributive lattice of k-Archimedean semirings;

D O I：

10.1007/s00233-009-9205-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the least distributive lattice congruence on the semirings in the variety of all semirings whose additive reduct is a semilattice, introduce the notion of a k-Archimedean semiring and characterize the semirings that are distributive lattices or chains of k-Archimedean semirings.

引用

页码：293 / 301

页数：9

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