Lattice theory: foundation
GA Gratzer - 2011 - Springer
This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice
Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the …
Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the …
[图书][B] Lattice theory: special topics and applications
GA Gratzer, F Wehrung - 2016 - Springer
George Grätzer started writing his General Lattice Theory in 1968. It was published in 1978.
It set out “to discuss in depth the basics of general lattice theory.” Almost 900 exercises, 193 …
It set out “to discuss in depth the basics of general lattice theory.” Almost 900 exercises, 193 …
Amalgamation Property in the subvarieties of Gautama and Almost Gautama algebras
JM Cornejo, HP Sankappanavar - arXiv preprint arXiv:2409.13124, 2024 - arxiv.org
Gautama algebras were introduced recently, as a common generalization of regular double
Stone algebras and regular Kleene Stone algebras. Even more recently, Gautama algebras …
Stone algebras and regular Kleene Stone algebras. Even more recently, Gautama algebras …
On the relationship of AP, RS and CEP in congruence modular varieties. II
C Bergman, R McKenzie - Proceedings of the American Mathematical …, 1988 - ams.org
Let $ V $ be a congruence distributive variety, or a congruence modular variety whose free
algebra on 2 generators is finite. If $ V $ is residually small and has the amalgamation …
algebra on 2 generators is finite. If $ V $ is residually small and has the amalgamation …
Varieties of lattices
P Jipsen, H Rose - Lattice Theory: Special Topics and Applications …, 2016 - Springer
In this chapter we discuss some of the more recent results and give a general overview of
what is currently known about lattice varieties. Of course it is impossible to give a …
what is currently known about lattice varieties. Of course it is impossible to give a …
Absolute retracts and amalgamation in certain congruence distributive varieties
P Jipsen, H Rose - Canadian Mathematical Bulletin, 1989 - cambridge.org
ABSOLUTE RETRACTS AND AMALGAMATION IN CERTAIN CONGRUENCE
DISTRIBUTIVE VARIETIES Page 1 Canad. Math. Bull. Vol. 32 (3), 1989 ABSOLUTE …
DISTRIBUTIVE VARIETIES Page 1 Canad. Math. Bull. Vol. 32 (3), 1989 ABSOLUTE …
Amalgamation in small varieties of lattices
B Jónsson - Journal of Pure and Applied Algebra, 1990 - Elsevier
A property used by G. Grätzer and H. Lakser to describe the amalgamation class of a finitely
generated variety of pseudo-complemented distributive lattices, and a property used by C …
generated variety of pseudo-complemented distributive lattices, and a property used by C …
Small congruence distributive varieties: retracts, injectives, equational compactness and amalgamation
P Ouwehand, H Rose - Periodica Mathematica Hungarica, 1996 - Springer
The relationship between absolute retracts, injectives and equationally compact algebras in
finitely generated congruence distributive varieties with 1-element subalgebras is …
finitely generated congruence distributive varieties with 1-element subalgebras is …
Non-axiomatizability of the amalgamation class of modular lattice varieties
C Bergman - Order, 1989 - Springer
Non-Axiomatizability of the amalgamation class of modular lattice varieties Page 1 Order 6:
49-58, 1989. 1989 Kluwer Academic Publishers. Printed in the Netherlandr. 49 Non-Axiomatizability …
49-58, 1989. 1989 Kluwer Academic Publishers. Printed in the Netherlandr. 49 Non-Axiomatizability …
Varieties with cofinal sets: examples and amalgamation
P Bruyns, H Rose - Proceedings of the American Mathematical Society, 1991 - ams.org
A variety $\mathcal {V} $ has a cofinal set $ S\subset\mathcal {V} $ if any $ A\in\mathcal {V} $
is embeddable in a reduced product of members of $ S $. Amalgamation in and examples of …
is embeddable in a reduced product of members of $ S $. Amalgamation in and examples of …