δ-Ideals in pseudo-complemented distributive join-semilattices

被引：2

作者：

Nimbhorkar, Shriram K. ^{[1
]}

Nehete, Jaya Y. ^{[1
]}

机构：

[1] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad 431004, Maharashtra, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 06期

关键词：

Ideal; filter; minimal prime ideal; congruence; delta-ideal; Boolean join semilattice;

D O I：

10.1142/S1793557121501060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of a delta-ideal is introduced in a pseudo-complemented distributive join semilattice with 0 and some properties of these ideals are obtained. We also give a characterization for a pseudo-complemented distributive join-semilattice to be a Stone join-semilattice. Also, in a distributive join-semilattice a characterization for an ideal to be a delta-ideal is proved.

引用

页数：7

共 50 条

[21] IDEALS AND FILTERS OF PSEUDO-COMPLEMENTED SEMI-LATTICES
BLYTH, TS
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1980, 23 (OCT) : 301 - 316
[22] HELLY AND RADON NUMBERS IN DISTRIBUTIVE LATTICES AND PSEUDO-COMPLEMENTED LATTICES
ZOLOTAREV, AP
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1990, (05): : 41 - 47
[23] IDEALS IN PSEUDO-COMPLEMENTED LATTICES AND SEMI-LATTICES
VENKATAN.PV
ACTA SCIENTIARUM MATHEMATICARUM, 1974, 36 (1-2): : 221 - 226
[24] A note on Stone join-semilattices
Nimbhorkar, Shriram K.
Rahemani, Anwari
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2011, 9 (04): : 929 - 933
[25] UNIVERSAL TERMS FOR PSEUDO-COMPLEMENTED DISTRIBUTIVE LATTICES AND HEYTING ALGEBRAS
ADAMS, ME
CLARK, DM
LECTURE NOTES IN MATHEMATICS, 1985, 1149 : 1 - 16
[26] ON THE DEL RELATION IN JOIN-SEMILATTICES
MAEDA, S
THAKARE, NK
WASADIKAR, MP
ALGEBRA UNIVERSALIS, 1985, 20 (02) : 229 - 242
[27] Characterization of Congruence Kernel Ideals in Sectionally Pseudo Complemented Semilattices
Kumar, E. S. Rama Ravi
Rao, J. Venkateswara
GAZI UNIVERSITY JOURNAL OF SCIENCE, 2014, 27 (04): : 1039 - 1043
[28] WEIGHTED JOIN-SEMILATTICES AND TRANSVERSAL MATROIDS
BRUALDI, RA
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 191 (464) : 317 - 328
[29] On a statement of O. Frink about free pseudo-complemented meet-semilattices
Katrinak, Tibor
Gurican, Jaroslav
ALGEBRA UNIVERSALIS, 2024, 85 (01)
[30] NOTE ON DIRECT SUMS OF JOIN-SEMILATTICES
NIEMINEN, J
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1975, 23 (10): : 1051 - 1054

← 1 2 3 4 5 →