Normal Ideals in Generalized Almost Distributive Lattices

被引：0
|
作者：
Rao, G. C. [1 ]
Bandaru, Ravi Kumar [2 ]
Rafi, N. [1 ]
机构：
[1] Andhra Univ, Dept Math, Visakhapatnam 530003, Andhra Pradesh, India
[2] GITAM Univ, Dept Engg Math, Hyderabad Campus, Hyderabad 502329, Andhra Pradesh, India
来源：
THAI JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 01期
关键词：
generalized almost distributive lattice (GADL); annihilator preserving homomorphism; disjunctive GADL; normal ideal;
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, we introduced the concept of an annihilator preserving homomorphism from a GADL L into a GADL L' and studied some basic properties of these homomorphisms. We derived a sufficient condition for a homomorphism to be annihilator preserving homomorphism. We introduced the concept of a normal ideal in a GADL L and proved that the set N(L) of all normal ideals of L forms a Boolean algebra.
引用
收藏
页码：35 / 46
页数：12
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