Semi-Brouwerian Almost Distributive Lattices

被引：0

作者：

Srikanth, V. V. V. S. S. P. S. ^{[1
]}

Ramesh, S. ^{[1
]}

Ratnamani, M. V. ^{[2
]}

Shum, K. P. ^{[3
]}

机构：

[1] GITAM, GITAM Sch Sci, Dept Math, Visakhapatnam, India

[2] Aditya Inst Technol & Management, Dept Basic Sci & Humanities, Tekkali, India

[3] Yunnan Univ, Inst Math, Kunming 650091, Peoples R China

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2024年 / 48卷 / 04期

关键词：

Principal ideal; Almost distributive lattice; Heyting algebra; Semi-Brouwerian algebra; Heyting almost distributive lattice;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a semi-Brouwerian almost distributive lattice as a description of a semi-Brouwerian algebra in the category of almost distributive lattices and derive a number of algebraic properties on them. We obtain a few equivalent conditions for an almost distributive lattice to become a semi-Brouwerian almost distributive lattice. Finally we identify a class of pseudo -complemented lattices and a class of semi-Brouwerian algebras in a semi-Brouwerian almost distributive lattice.

引用

页码：569 / 578

页数：10

共 50 条

[21] L-ALMOST DISTRIBUTIVE LATTICES
Rao, G. C.
Assaye, Berhanu
Prasad, R.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2011, 4 (01) : 171 - 178
[22] *-0-Distributive Almost Lattices
Rao, G. Nanaji
Raju, R. Venkata Aravinda
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2022, 46 (02) : 241 - 258
[23] BL-ALMOST DISTRIBUTIVE LATTICES
Rao, G. C.
Kakumanu, Naveen Kumar
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2012, 5 (02)
[24] KERNEL IDEALS IN ALMOST DISTRIBUTIVE LATTICES
Rao, M. Sambasiva
Rao, G. C.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2012, 5 (02)
[25] Complementedly Normal Almost Distributive Lattices
Ramesh, S.
Swamy, U. M.
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2016, 40 (01) : 109 - 115
[26] Properties of Stone almost distributive lattices
Rao, G. C.
Alamneh, Mihret
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (01)
[27] The Development of the Theory of Almost Distributive Lattices
Rao, G. C.
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ALGEBRA 2010: ADVANCES IN ALGEBRAIC STRUCTURES, 2012, : 505 - 522
[28] Congruence Relations on Almost Distributive Lattices
Pawar, Y. S.
Shaikh, I. A.
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2012, 36 (04) : 519 - 527
[29] On Characterizations of Stone Almost Distributive Lattices
Swamy, U. M.
Rao, G. C.
Rao, G. Nanaji
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2008, 32 (06) : 1167 - 1176
[30] MS-almost distributive lattices
Addis, Gezahagne Mulat
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2020, 13 (07)

← 1 2 3 4 5 →