Filters of p-Algebras With Respect to a Closure Operator

被引：0

作者：

Badawy, Abd El-Mohsen ^{[1
]}

机构：

[1] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2016年 / 40卷 / 01期

关键词：

MS-algebras; Distributive lattices; p-algebras; Boosters; Closure operator; gamma-filters; Homomorphisms;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of boosters in p-algebras is introduced. Many properties of boosters are derived. A closure operator is introduced in the filter lattice of a p-algebra and with the help of this operator the concept of gamma-filters is introduced and these filters are characterized. An isomorphism is obtained between the lattices of gamma-filters and the ideal lattice of boosters. Finally, some properties of gamma-filters are studied with respect to homomorphisms.

引用

页码：35 / 47

页数：13

共 14 条

[1]

Badawy A., 2014, CHAMCHURI J MATH, V6, P17

[2]

BADAWY A, 2014, DISCUSS MATH GEN ALG, V34, P109

[3] STONE LATTICES [J].