We consider here some notions and results about sets of generators of finite algebras motivated by the case of finite groups. We illustrate these notions by simple examples closed to lattices and semigroups. Next, we examine these notions in the case of groups with operators
AbstractA finitely generated algebra A in a variety V is called finitely determined in V if there ex...
We consider the preservation of properties of being finitely generated, being finitely presented and...
The combinatorial notion of a "small set" in an abstract group was introduced by Bella and Malykhin....
In this note we are going to survey several invariants of finite groups related either to theirorder...
AbstractWe prove that the ring of differential operators of any semigroup algebra is finitely genera...
The Theory of Finitely Generated Commutative Semigroups describes a theory of finitely generated com...
A subset X of a group (or a ring, or a field) is called generating, if the smallest subgroup (or sub...
During the last 40 years the theory of finite groups has developed dramatically. The finite simple g...
Let G be a finite group. It has recently been proved that every nontrivial element of G is contained...
The diagonal right (respectively, left) act of a semigroup S is the set S x S on which S acts via (x...
The theory of semigroup varieties is one of the most important parts of the theory of semigroups. Ma...
The diagonal right (respectively, left) act of a semigroup S is the set S ×S on which S acts via (x,...
AbstractIt is shown that a semigroup S is finitely generated whenever the semigroup algebra K[S] is ...
We provide a short and more direct proof that a commutative semigroup is finitely generated if its l...
We study the algebra of semigroups of sets (i.e. families of sets closed under finite unions) and it...
AbstractA finitely generated algebra A in a variety V is called finitely determined in V if there ex...
We consider the preservation of properties of being finitely generated, being finitely presented and...
The combinatorial notion of a "small set" in an abstract group was introduced by Bella and Malykhin....
In this note we are going to survey several invariants of finite groups related either to theirorder...
AbstractWe prove that the ring of differential operators of any semigroup algebra is finitely genera...
The Theory of Finitely Generated Commutative Semigroups describes a theory of finitely generated com...
A subset X of a group (or a ring, or a field) is called generating, if the smallest subgroup (or sub...
During the last 40 years the theory of finite groups has developed dramatically. The finite simple g...
Let G be a finite group. It has recently been proved that every nontrivial element of G is contained...
The diagonal right (respectively, left) act of a semigroup S is the set S x S on which S acts via (x...
The theory of semigroup varieties is one of the most important parts of the theory of semigroups. Ma...
The diagonal right (respectively, left) act of a semigroup S is the set S ×S on which S acts via (x,...
AbstractIt is shown that a semigroup S is finitely generated whenever the semigroup algebra K[S] is ...
We provide a short and more direct proof that a commutative semigroup is finitely generated if its l...
We study the algebra of semigroups of sets (i.e. families of sets closed under finite unions) and it...
AbstractA finitely generated algebra A in a variety V is called finitely determined in V if there ex...
We consider the preservation of properties of being finitely generated, being finitely presented and...
The combinatorial notion of a "small set" in an abstract group was introduced by Bella and Malykhin....
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