Varieties of posets

被引：4
|
作者：
Haviar, A
Lihová, J
机构：
[1] Safarik Univ, Inst Math, SK-04154 Kosice, Slovakia
[2] Matej Bell Univ, Dept Math, Fac Nat Sci, SK-97401 Banska Bystrica, Slovakia
[3] Slovak Acad Sci, Math Inst, SK-04001 Kosice, Slovakia
来源：
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2005年 / 22卷 / 04期
关键词：
congruence relation; homomorphism; inf-set; l-subposet; poset; sup-set; variety;
D O I：
10.1007/s11083-005-9023-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce and investigate the notion of a homomorphism, of a congruence relation, of a substructure of a poset and consequently the notion of a variety of posets. These notions are consistent with those used in lattice theory and multilattice theory. There are given some properties of the lattice of all varieties of posets.
引用
收藏
页码：343 / 356
页数：14
相关论文
共 50 条
  • [1] Varieties of Posets
    Alfonz Haviar
    Judita Lihová
    Order, 2005, 22 : 343 - 356
  • [2] VARIETIES CORRESPONDING TO CLASSES OF COMPLEMENTED POSETS
    Chajda, Ivan
    Kolarik, Miroslav
    Langer, Helmut
    MISKOLC MATHEMATICAL NOTES, 2021, 22 (02) : 611 - 623
  • [3] ORDER VARIETIES GENERATED BY FINITE POSETS
    ZADORI, L
    ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 1992, 8 (04): : 341 - 348
  • [4] Idempotent Varieties of Incidence Monoids and Bipartite Posets
    Mahir Bilen Can
    Ana Casimiro
    António Malheiro
    Algebras and Representation Theory, 2023, 26 : 1975 - 2000
  • [5] Order Varieties and Monotone Retractions of Finite Posets
    Gábor Kun
    Csaba Szabó
    Order, 2001, 18 : 79 - 88
  • [6] Idempotent Varieties of Incidence Monoids and Bipartite Posets
    Can, Mahir Bilen
    Casimiro, Ana
    Malheiro, Antonio
    ALGEBRAS AND REPRESENTATION THEORY, 2023, 26 (05) : 1975 - 2000
  • [7] Order varieties and monotone retractions of finite posets
    Kun, G
    Szabó, C
    ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2001, 18 (01): : 79 - 88
  • [8] Finite posets and topological spaces in locally finite varieties
    Larose, B
    Zádori, L
    ALGEBRA UNIVERSALIS, 2005, 52 (2-3) : 119 - 136
  • [9] Finite posets and topological spaces in locally finite varieties
    Benoit Larose
    László Zádori
    algebra universalis, 2005, 52 : 119 - 136
  • [10] FLASQUE SHEAVES ON POSETS AND COHEN-MACAULAY UNIONS OF REGULAR VARIETIES
    YUZVINSKY, S
    ADVANCES IN MATHEMATICS, 1989, 73 (01) : 24 - 42
12345