Contributions to Universal Algebra
- 1st Edition - January 1, 1977
- Imprint: North Holland
- Editors: B. Csákány, J. Schmidt
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 1 - 0 9 3 6 - 7
- eBook ISBN:9 7 8 - 1 - 4 8 3 1 - 0 3 0 2 - 0
Contributions to Universal Algebra focuses on the study of algebra. The compilation first discusses the congruence lattice of pseudo-simple algebras; elementary properties of… Read more
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Request a sales quoteContributions to Universal Algebra focuses on the study of algebra. The compilation first discusses the congruence lattice of pseudo-simple algebras; elementary properties of limit reduced powers with applications to Boolean powers; and congruent lattices of 2-valued algebras. The book further looks at duality for algebras; weak homomorphisms of stone algebras; varieties of modular lattices not generated by their finite dimensional members; and remarks on algebraic operations of stone algebras. The text describes polynomial normal forms and the embedding of polynomial algebras; coverings in the lattice of varieties; embedding semigroups in semigroups generated by idempotents; and endomorphism semigroups and subgroupoid lattices. The book also discusses a report on sublattices of a free lattice, and then presents the cycles in finite semi-distributive lattices; cycles in S-lattices; and summary of results. The text also describes primitive subsets of algebras, ideals, normal sets, and congruences, as well as Jacobson’s density theorem. The book is a good source for readers wanting to study algebra.
Preface
Contents
Scientific Program
List of Participants
On the Congruence Lattice of Pseudosimple Algebras
Elementary Properties of Limit Reduced Powers with Applications to Boolean Powers
On Congruence Lattices of 2-Valued Algebras
The c-Ideal Lattice and Subalgebra Lattice are Independent
l-Group-Cone and Boolean Algebra. A Common One-Identity-Axiom
Splitting Lattices and Congruence Modularity
Some Remarks on Weak Automorphisms
On Polynomial Algebras
Duality for Algebras
Projective and Injective Varieties of Abelian Ω-Algebras
Some Varieties of Modular Lattices not Generated by Their Finite Dimensional Members
On Weak Homomorphisms of Stone Algebras
On the Sums of Double Systems of Lattices and DS-Congruences of Lattices
n-Distributivity and Some Questions of the Equational Theory of Lattices
Polynomial Normal Forms and the Embedding of Polynomial Algebras
Coverings in the Lattice of Varieties
Embedding Semigroups in Semigroups Generated by Idempotents
Endomorphism Semigroups and Subgroupoid Lattices
A Note on Implicational Subcategories
A Report on Sublattices of a Free Lattice
Extensive Groupoid Varieties
Primitive Subsets of Algebras
Ideals, Normal Sets and Congruences
A Characterization of Complete Modular p-Algebras
Jacobson's Density Theorem in Universal Algebra
Certain Questions of the Theory of Homotopy of Universal Algebras
A Theorem on Finite Sublattices of Free Lattices
A Note on a Problem of Goralčik
Quasi-Decompositions, Exact Sequences, and Triple Sums of Semigroups. I. General Theory
Quasi-Decompositions, Exact Sequences, and Triple Sums of Semigroups. II. Applications
Endomorphically Complete Groups
Concrete Categories with Non-Injective Monomorphisms
On Algebras as Tree Automata
On Affine Modules
Equational Logic
On Regular Algebras
Remarks on Fully Invariant Congruences
Varieties Generated by Quasi-Primal Algebras have Decidable Theories
On the Polynomial Completeness Defect of Universal Algebras
On Lattices Freely Generated by Finite Partially Ordered Sets
Proper and Improper Free Algebras
Problems
- Edition: 1
- Published: January 1, 1977
- No. of pages (eBook): 608
- Imprint: North Holland
- Language: English
- Paperback ISBN: 9781483109367
- eBook ISBN: 9781483103020
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