STRUCTURAL MATRIX ALGEBRAS RELATED TO FINITE DISTRIBUTIVE LATTICES

被引：0

作者：

Akkurt, E ^{[1
]}

Akkurt, M ^{[1
]}

Barker, G.P ^{[2
]}

机构：

[1] Gebze Inst Technol, Dept Math, TR-41400 Kocaeli, Turkey

[2] Univ Missouri, Dept Math, Kansas City, MO 64110 USA

来源：

QUAESTIONES MATHEMATICAE | 2014年 / 37卷 / 02期

关键词：

Structural matrix algebra; invariant subspace; finite distributive lattice; REFLEXIVE; SUBSPACES;

D O I：

10.2989/16073606.2013.779606

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the relation between a structural matrix algebra and the lattice properties of its lattice of invariant subspaces, and reprove known results in a fresh and an explanatory way. Moreover, we also prove the theorem which is partially converse of Proposition 2.6 of [15].

引用

页码：291 / 302

页数：12

共 50 条

[31] Effective categoricity for distributive lattices and Heyting algebras
Bazhenov N.A.
Lobachevskii Journal of Mathematics, 2017, 38 (4) : 600 - 614
[32] Boolean algebras and distributive lattices treated constructively
Bell, JL
MATHEMATICAL LOGIC QUARTERLY, 1999, 45 (01) : 135 - 143
[33] SMALL REPRESENTATIONS OF FINITE DISTRIBUTIVE LATTICES AS CONGRUENCE LATTICES
GRATZER, G
RIVAL, I
ZAGUIA, N
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (07) : 1959 - 1961
[34] On (finite) distributive lattices with antitone involutions
Botur, Michal
Kuehr, Jan
SOFT COMPUTING, 2014, 18 (06) : 1033 - 1040
[35] DISTRIBUTIVE LATTICES WITH FINITE PROJECTIVE COVES
DAY, A
GASKILL, H
POGUNTKE, W
PACIFIC JOURNAL OF MATHEMATICS, 1979, 81 (01) : 45 - 59
[36] Bialgebraic contexts for finite distributive lattices
Vogt, F
ALGEBRA UNIVERSALIS, 1996, 35 (01) : 151 - 165
[37] On (finite) distributive lattices with antitone involutions
Michal Botur
Jan Kühr
Soft Computing, 2014, 18 : 1033 - 1040
[38] MAXIMAL SUBLATTICES OF FINITE DISTRIBUTIVE LATTICES
RIVAL, I
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (05): : A570 - &
[39] Covering Dimension of Finite Distributive Lattices
Wang, Kaiyun
Ji, Chunxu
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2024,
[40] MAXIMAL SUBLATTICES OF FINITE DISTRIBUTIVE LATTICES
RIVAL, I
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 37 (02) : 417 - 420

← 1 2 3 4 5 →