1985, ISBN 0821823337, Volume no. 332., v, 83

Book

1989, Progress in mathematics, ISBN 9780817634391, Volume 78., viii, 212

Book

2006, Advances in mathematics, ISBN 0387308040, Volume 10, xiii, 341

M-Solid Varieties of Algebras provides a complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering...

Varieties (Universal algebra) | Semirings (Mathematics) | Semigroups | Algebra, Universal | Galois modules (Algebra) | Computer science | General Algebraic Systems | Mathematics | Group Theory and Generalizations | Order, Lattices, Ordered Algebraic Structures | Programming Languages, Compilers, Interpreters | Mathematical Logic and Formal Languages

Varieties (Universal algebra) | Semirings (Mathematics) | Semigroups | Algebra, Universal | Galois modules (Algebra) | Computer science | General Algebraic Systems | Mathematics | Group Theory and Generalizations | Order, Lattices, Ordered Algebraic Structures | Programming Languages, Compilers, Interpreters | Mathematical Logic and Formal Languages

Book

2004, Cambridge studies in advanced mathematics, ISBN 9780521832076, Volume 92, vi, 235

The most basic algebraic varieties are the projective spaces, and rational varieties are their closest relatives. In many applications where algebraic...

Varieties (Universal algebra)

Varieties (Universal algebra)

Book

Algebra and Logic, ISSN 0002-5232, 1/2019, Volume 57, Issue 6, pp. 414 - 428

This paper enters into a series of works on universal algebraic geometry—a branch of mathematics that is presently flourishing and is still undergoing active...

equational codomain | universal geometric equivalence | Mathematics | irreducible coordinate algebra | joint embedding property | quasivariety | equational Noetherian property | Algebra | algebraic structure | universal class | universal algebraic geometry | discriminability | Mathematical Logic and Foundations | Dis-limit | LOGIC | MATHEMATICS

equational codomain | universal geometric equivalence | Mathematics | irreducible coordinate algebra | joint embedding property | quasivariety | equational Noetherian property | Algebra | algebraic structure | universal class | universal algebraic geometry | discriminability | Mathematical Logic and Foundations | Dis-limit | LOGIC | MATHEMATICS

Journal Article

1994, Lecture notes in mathematics, ISBN 9783540578147, Volume 1572., viii, 196

Book

Iranian Journal of Fuzzy Systems, ISSN 1735-0654, 2013, Volume 10, Issue 4, pp. 1 - 18

In the framework of fuzzy algebras with fuzzy equalities and a complete lattice as a structure of membership values, we investigate fuzzy equational classes....

Fuzzy algebra | Fuzzy equational class | Fuzzy direct product | Fuzzy homomorphism | Fuzzy equality | Fuzzy identity | Fuzzy variety | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAS | SUBGROUPS

Fuzzy algebra | Fuzzy equational class | Fuzzy direct product | Fuzzy homomorphism | Fuzzy equality | Fuzzy identity | Fuzzy variety | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAS | SUBGROUPS

Journal Article

Journal of Multiple-Valued Logic and Soft Computing, ISSN 1542-3980, 2016, Volume 26, Issue 1-2, pp. 1 - 17

We consider classes of operations in multiple-valued logic that are closed under composition as well as under permutation of variables, identification of...

Subfunction | Composition of operations | Equational class | Class of operations | Maximal clone | Minor | Clone | Minimal clone | maximal clone | minor | subfunction | equational class | clone | BOOLEAN FUNCTIONS | composition of operations | COMPUTER SCIENCE, THEORY & METHODS | minimal clone | LOGIC | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Subfunction | Composition of operations | Equational class | Class of operations | Maximal clone | Minor | Clone | Minimal clone | maximal clone | minor | subfunction | equational class | clone | BOOLEAN FUNCTIONS | composition of operations | COMPUTER SCIENCE, THEORY & METHODS | minimal clone | LOGIC | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 12/2017, Volume 369, Issue 12, pp. 8903 - 8937

Cylindric algebras. Part II, Studies in Logic and the Foundations of Mathematics, vol. 115, North-Holland, Amsterdam, 1985]; the problem is restated by N]]>éOn...

MATHEMATICS | LOGIC | LATTICE | EQUATIONAL CLASSES

MATHEMATICS | LOGIC | LATTICE | EQUATIONAL CLASSES

Journal Article

Journal of Multiple-Valued Logic and Soft Computing, ISSN 1542-3980, 2012, Volume 19, Issue 5-6, pp. 493 - 518

We determine all composition-closed equational classes of Boolean functions. These classes provide a natural generalization of clones and iterative algebras:...

Function class composition | Equational class | Post class | Iterative algebra | Post lattice | Relational constraint | Boolean function | Clone | equational class | clone | iterative algebra | relational constraint | COMPUTER SCIENCE, THEORY & METHODS | function class composition | LOGIC | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Function class composition | Equational class | Post class | Iterative algebra | Post lattice | Relational constraint | Boolean function | Clone | equational class | clone | iterative algebra | relational constraint | COMPUTER SCIENCE, THEORY & METHODS | function class composition | LOGIC | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Journal Article

Algebra universalis, ISSN 0002-5240, 12/2009, Volume 62, Issue 2, pp. 201 - 208

This paper introduces several families of equational classes of unital f-rings that are defined by equations that impose conditions on the elements between 0...

Algebra | 08A15 | ordered ring | equational class | singular f-ring | Mathematics | f-ring | 06F25 | Equational class | Ordered ring | Singular f-ring | MATHEMATICS

Algebra | 08A15 | ordered ring | equational class | singular f-ring | Mathematics | f-ring | 06F25 | Equational class | Ordered ring | Singular f-ring | MATHEMATICS

Journal Article

12.
Full Text
A complete classification of equational classes of threshold functions included in clones

RAIRO - Operations Research, ISSN 0399-0559, 01/2015, Volume 49, Issue 1, pp. 39 - 66

The class of threshold functions is known to be characterizable by functional equations or, equivalently, by pairs of relations, which are called relational...

Equational classes | Boolean functions | Threshold functions | Constraints | Clones | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | clones | equational classes | SETS | POST CLASSES | constraints | threshold functions | Boolean algebra | Functional equations | Intersections | Classification | Mathematics | Computer Science

Equational classes | Boolean functions | Threshold functions | Constraints | Clones | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | clones | equational classes | SETS | POST CLASSES | constraints | threshold functions | Boolean algebra | Functional equations | Intersections | Classification | Mathematics | Computer Science

Journal Article

2002, Memoirs of the American Mathematical Society, ISBN 0821832255, Volume no. 763., x, 116

Book

2014 IEEE 44th International Symposium on Multiple-Valued Logic, ISSN 0195-623X, 05/2014, pp. 55 - 60

We consider classes of operations in multiple-valued logic that are closed under composition as well as under permutation of variables, identification of...

Terminology | classes of operations | Cloning | Lattices | equational class | Educational institutions | composition of operations | Electronic mail | Indexes | Algebra | maximal clone | clone | minimal clone

Terminology | classes of operations | Cloning | Lattices | equational class | Educational institutions | composition of operations | Electronic mail | Indexes | Algebra | maximal clone | clone | minimal clone

Conference Proceeding

1984, ISBN 0821823086, Volume no. 305., v, 125

Book

Logic and Logical Philosophy, ISSN 1425-3305, 2016, Volume 25, Issue 1, pp. 35 - 49

Journal Article

1994, Advances in Soviet mathematics, ISBN 9780821841242, Volume 18, xvii, 284

Book

International Electronic Journal of Algebra, ISSN 1306-6048, 2018, Volume 23, pp. 25 - 41

Journal Article

2011 41st IEEE International Symposium on Multiple-Valued Logic, ISSN 0195-623X, 05/2011, pp. 313 - 317

We determine all composition-closed equational classes of Boolean functions. These classes provide a natural generalization of clones and iterative algebras:...

Post class | Navigation | Post lattice | Cloning | Lattices | equational class | Boolean function | Equations | Boolean functions | clone | iterative algebra | relational constraint | function class composition

Post class | Navigation | Post lattice | Cloning | Lattices | equational class | Boolean function | Equations | Boolean functions | clone | iterative algebra | relational constraint | function class composition

Conference Proceeding

Studia Logica: An International Journal for Symbolic Logic, ISSN 0039-3215, 10/2009, Volume 93, Issue 1, pp. 41 - 65

This paper presents the first purely algebraic characterization of classes of partial algebras definable by a set of strong equations. This result was posible...

Homomorphisms | Algebra | Mathematical theorems | Dams | Logical theorems | Subalgebras | Mathematical functions | Mathematics | Mathematical congruence | Signatures | Equational logic | Equation | Strong equation | Equational class | Partial algebra | Computer science | Universities and colleges | Chemical properties

Homomorphisms | Algebra | Mathematical theorems | Dams | Logical theorems | Subalgebras | Mathematical functions | Mathematics | Mathematical congruence | Signatures | Equational logic | Equation | Strong equation | Equational class | Partial algebra | Computer science | Universities and colleges | Chemical properties

Journal Article

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