Contributions to Universal Algebra - 1st Edition - ISBN: 9780720407259, 9781483103020

Contributions to Universal Algebra

1st Edition

Editors: B. Csákány J. Schmidt
eBook ISBN: 9781483103020
Imprint: North Holland
Published Date: 1st January 1977
Page Count: 608
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Contributions 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.

Table of Contents

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 Lat


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© North Holland 1977
North Holland
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About the Editor

B. Csákány

J. Schmidt

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