SOME RESULTS IN TYPES OF EXTENSIONS OF MV-ALGEBRAS

被引:4
作者
Forouzesh, F. [1 ]
Sajadian, F. [1 ]
Bedrood, M. [1 ]
机构
[1] Fac Math & Comp, Higher Educ Complex Bam, Kerman, Iran
来源
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2019年 / 105卷 / 119期
关键词
zero-divisor; extension; contraction; inverse topology;
D O I
10.2298/PIM1919161F
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce the notions of zero divisor and extension, contraction of ideals in MV-algebras and several interesting types of extensions of MV-algebras. In particular, we show what kinds of extensions MV-algebras will lead in a homeomorphism of the spectral topology and inverse topology on minimal prime ideals. Finally, we investigate the relations among types of extensions of MV-algebras.
引用
收藏
页码:161 / 177
页数:17
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