NOTES ON MILDLY DISTRIBUTIVE SEMILATTICES

被引：3
|
作者：
Arturo Celani, Sergio [1 ,2 ]
Javier Gonzalez, Luciano [3 ]
机构：
[1] Consejo Nacl Invest Cient & Tecn, Pinto 399, RA-7000 Tandil, Argentina
[2] Univ Nacl Ctr, Dept Matemat, Pinto 399, RA-7000 Tandil, Argentina
[3] Univ Nacl La Pampa, Fac Ciencias Exactas & Nat, Avda Uruguay 151, RA-6300 Santa Rosa, La Pampa, Argentina
来源：
MATHEMATICA SLOVACA | 2017年 / 67卷 / 05期
关键词：
semilattices; mildly distributivity; Frink-ideals; free extension; LATTICES;
D O I：
10.1515/ms-2017-0033
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we shall investigate the mildly distributive meet-semilattices by means of the study of their filters and Frink-ideals as well as applying the theory of annihilator. We recall some characterizations of the condition of mildly-distributivity and we give several new characterizations. We prove that the definition of strong free distributive extension, introduced by Hickman in 1984, can be simplified and we show a correspondence between (prime) Frink-ideals of a mildly distributive semilattice and (prime) ideals of its strong free distributive extension. (C) 2017 Mathematical Institute Slovak Academy of Sciences
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页码：1073 / 1084
页数：12
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