THE VARIETY OF SEMIRINGS GENERATED BY DISTRIBUTIVE LATTICES AND FINITE FIELDS

被引：3
|
作者：
Shao, Yong [1 ]
Crvenkovic, Sinisa [2 ]
Mitrovic, Melanija [3 ]
机构：
[1] Northwest Univ, Dept Math, Xian, Peoples R China
[2] Univ Novi Sad, Dept Math & Informat, Novi Sad 21000, Serbia
[3] Univ Nis, Fac Mech Engn, Nish, Serbia
来源：
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2014年 / 95卷 / 109期
基金：
中国博士后科学基金;
关键词：
finite field; distributive lattice; subdirectly irreducible; variety; SUBDIRECT PRODUCTS; PRIMITIVE CLASSES; ARITHMETIC RINGS;
D O I：
10.2298/PIM1409101S
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A semiring variety is d-semisimple if it is generated by the distributive lattice of order two and a finite number of finite fields. A d-semisimple variety V = HSP{B-2,F-1,..., F-k} plays the main role in this paper. It will be proved that it is finitely based, and that, up to isomorphism, the two-element distributive lattice B-2 and all subfields of F-1,... F-k, are the only subdirectly irreducible members in it.
引用
收藏
页码：101 / 109
页数：9
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