Decomposition of A-ideals in MV-modules

被引：0
|
作者：
Goraghani, S. Saidi [1 ]
Borzooei, R. A. [2 ]
机构：
[1] Farhangian Univ, Dept Math, Tehran, Iran
[2] Shahid Beheshti Univ, Dept Math, Tehran, Iran
来源：
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES | 2018年 / 45卷 / 01期
关键词：
MV-algebra; radical; primary and P-primary; primary decomposition;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, by considering the notion of MV-modules, we present definition of radical of an ideal in MV-algebras by prime ideals that in last was defined by maximal ideals. Also, we define the notions of primary and P-primary A-ideals in MV-modules. Then we show that under conditions, if an A-ideal has a primary decomposition, then it has a reduced primary decomposition. Finally, we characterize proper A-ideals that have a reduced primary decomposition.
引用
收藏
页码：66 / 77
页数：12
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