Homomorphisms and principal congruences of bounded lattices. III. The Independence Theorem

被引：0

作者：

G. Grätzer

机构：

[1] University of Manitoba,Department of Mathematics

来源：

Algebra universalis | 2017年 / 78卷

关键词：

Primary: 06B10; bounded lattice; congruence; principal; order; automorphism;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A new result of G. Czédli states that for an ordered set P with at least two elements and a group G, there exists a bounded lattice L such that the ordered set of principal congruences of L is isomorphic to P and the automorphism group of L is isomorphic to G.

引用

页码：297 / 301

页数：4

共 9 条

[1] Homomorphisms and principal congruences of bounded lattices. III. The Independence Theorem
Gratzer, G.
ALGEBRA UNIVERSALIS, 2017, 78 (03) : 297 - 301
[2] Homomorphisms and principal congruences of bounded lattices. II. Sketching the proof for sublattices
G. Grätzer
Algebra universalis, 2017, 78 : 291 - 295
[3] Homomorphisms and principal congruences of bounded lattices. II. Sketching the proof for sublattices
Gratzer, G.
ALGEBRA UNIVERSALIS, 2017, 78 (03) : 291 - 295
[4] An independence theorem for ordered sets of principal congruences and automorphism groups of bounded lattices
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Acta Scientiarum Mathematicarum, 2016, 82 (1-2): : 3 - 18
[5] Homomorphisms and principal congruences of bounded lattices I. Isotone maps of principal congruences
Gratzer, G.
ACTA SCIENTIARUM MATHEMATICARUM, 2016, 82 (3-4): : 353 - 360
[6] Notes on planar semimodular lattices. III. Rectangular lattices
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[7] Structure of Quasivariety Lattices. III. Finitely Partitionable Bases
A. V. Kravchenko
A. M. Nurakunov
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Algebra and Logic, 2020, 59 : 222 - 229
[8] Structure of Quasivariety Lattices. III. Finitely Partitionable Bases
Kravchenko, A., V
Nurakunov, A. M.
Schwidefsky, M., V
ALGEBRA AND LOGIC, 2020, 59 (03) : 222 - 229
[9] Type ⟨1, 1⟩ fuzzy quantifiers determined by fuzzy measures on residuated lattices. Part III. Extension, conservativity and extensionality
Dvorak, Antonin
Holcapek, Michal
FUZZY SETS AND SYSTEMS, 2015, 271 : 133 - 155

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