Add to ORKGAbstract. We classify the elements of an (universal) algebra A with regard to the following properties: (i) a ∈ A need not occur in any generating set for A, (ii) there is a generating set which must include a, or (iii) a must occur in all generating sets. Some relationships between these properties are established and illustrated, mainly by mono-unary algebras and distributive lattices. 1
Two special types of algebraic (or compactly generated) lattices -- called A1- and A2-lattice -- are...
We consider the preservation of properties of being finitely generated, being finitely presented and...
This paper deals with two varieties of commutative non-associative algebras. One variety satisfies L...
AbstractAn algebra A is uniquely generated by a set G if G is a subset of every set that generates A...
This book presents the foundations of a general theory of algebras. Often called "universal algebra"...
ABSTRACT. Let D n denote the class of all distributive lattices with n nullary operations, and let B...
Rich in examples and intuitive discussions, this book presents General Algebra using the unifying vi...
A basis of identities for an algebra is irredundant if each of its proper subsets fails to be a basi...
Bibliography: pages 140-145.An interesting problem in universal algebra is the connection between th...
We consider here some notions and results about sets of generators of finite algebras motivated by t...
The paper considers computer algebra in a non-commutative setting. So far, suchinvestigations have b...
We discuss the computational complexity of several prob- lems concerning subsets of an algebraic str...
As is well-known, in a finitary algebraic structure the set Γ of all the non-generators is the inters...
We prove that an inherently nonfinitely based algebra cannot gen-erate an abelian variety. On the ot...
AbstractIn this paper we find the number of free generating sets with q elements for free algebras i...
Two special types of algebraic (or compactly generated) lattices -- called A1- and A2-lattice -- are...
We consider the preservation of properties of being finitely generated, being finitely presented and...
This paper deals with two varieties of commutative non-associative algebras. One variety satisfies L...
AbstractAn algebra A is uniquely generated by a set G if G is a subset of every set that generates A...
This book presents the foundations of a general theory of algebras. Often called "universal algebra"...
ABSTRACT. Let D n denote the class of all distributive lattices with n nullary operations, and let B...
Rich in examples and intuitive discussions, this book presents General Algebra using the unifying vi...
A basis of identities for an algebra is irredundant if each of its proper subsets fails to be a basi...
Bibliography: pages 140-145.An interesting problem in universal algebra is the connection between th...
We consider here some notions and results about sets of generators of finite algebras motivated by t...
The paper considers computer algebra in a non-commutative setting. So far, suchinvestigations have b...
We discuss the computational complexity of several prob- lems concerning subsets of an algebraic str...
As is well-known, in a finitary algebraic structure the set Γ of all the non-generators is the inters...
We prove that an inherently nonfinitely based algebra cannot gen-erate an abelian variety. On the ot...
AbstractIn this paper we find the number of free generating sets with q elements for free algebras i...
Two special types of algebraic (or compactly generated) lattices -- called A1- and A2-lattice -- are...
We consider the preservation of properties of being finitely generated, being finitely presented and...
This paper deals with two varieties of commutative non-associative algebras. One variety satisfies L...