alpha-Ideals in Generalized Stone Almost Distributive Lattices

被引：0
|
作者：
Rao, G. C. [1 ]
Rao, M. Sambasiva [2 ]
机构：
[1] Andhra Univ, Dept Math, Visakhapatnam 530003, Andhra Pradesh, India
[2] MVGR Coll Engn, Dept Math, Chintalavalasa 535003, Vizianagaram, India
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2011年 / 35卷 / 06期
关键词：
Almost Distributive Lattice(ADL); Dense elements; Generalized Stone ADL; alpha-ideal; star-ADL; Strong ADL;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The structure of alpha-ideals in a generalized Stone ADL is studied. The existence of the largest alpha-ideal contained in a given ideal is proved in a generalized Stone ADL. The largest alpha-ideal is characterized element-wise. Finally, the concept of strong ADLs is introduced and a characterization theorem of strong ADL in terms of its prime ideals is proved.
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页码：997 / 1008
页数：12
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