For a sernigroup S, the finitary power semigroup of S, denoted P-f (S), consists of all finite subsets of S under the usual multiplication. The main result of this paper asserts that Pf (G) is not finitely generated for any infinite group G.</p
The purpose of the paper is to investigate finite generation and some other basic finiteness conditi...
A basis of identities for an algebra is irredundant if each of its proper subsets fails to be a basi...
A well-known necessary and sufficient condition for the operator A to be the infinitesimal generator...
For a sernigroup S, the finitary power semigroup of S, denoted P-f (S), consists of all finite subse...
Recently it has been proved that a finitely generated semigroup having the ω-iteration property is f...
Recently it has been proved that a finitely generated semigroup having the ω-iteration property is f...
Recently it has been proved that a finitely generated semigroup having the ω-iteration property is f...
For every prime p, we exhibit a finite p-group which cannot be generated by a set of elements, all h...
For every prime p, we exhibit a finite p-group which cannot be generated by a set of elements, all h...
We call a semigroup S f-noetherian if every right congruence of finite index on S is finitely genera...
For a semigroup S its d-sequence is d(S) = (d1, d2, d3, . . .), where di is the smallest number of e...
Let P be the variety of semigroups defined by the identity xyzx = x2. By a result of György Pollák, ...
Let P be the variety of semigroups defined by the identity xyzx = x2. By a result of György Pollák, ...
Recently, Zhang and Luo proved that a certain semigroup L of order six is non-finitely based. The ma...
Based among others on examples of W. M. Kantor and A. Lubotzky, L. Pyber has asked whether every fi...
The purpose of the paper is to investigate finite generation and some other basic finiteness conditi...
A basis of identities for an algebra is irredundant if each of its proper subsets fails to be a basi...
A well-known necessary and sufficient condition for the operator A to be the infinitesimal generator...
For a sernigroup S, the finitary power semigroup of S, denoted P-f (S), consists of all finite subse...
Recently it has been proved that a finitely generated semigroup having the ω-iteration property is f...
Recently it has been proved that a finitely generated semigroup having the ω-iteration property is f...
Recently it has been proved that a finitely generated semigroup having the ω-iteration property is f...
For every prime p, we exhibit a finite p-group which cannot be generated by a set of elements, all h...
For every prime p, we exhibit a finite p-group which cannot be generated by a set of elements, all h...
We call a semigroup S f-noetherian if every right congruence of finite index on S is finitely genera...
For a semigroup S its d-sequence is d(S) = (d1, d2, d3, . . .), where di is the smallest number of e...
Let P be the variety of semigroups defined by the identity xyzx = x2. By a result of György Pollák, ...
Let P be the variety of semigroups defined by the identity xyzx = x2. By a result of György Pollák, ...
Recently, Zhang and Luo proved that a certain semigroup L of order six is non-finitely based. The ma...
Based among others on examples of W. M. Kantor and A. Lubotzky, L. Pyber has asked whether every fi...
The purpose of the paper is to investigate finite generation and some other basic finiteness conditi...
A basis of identities for an algebra is irredundant if each of its proper subsets fails to be a basi...
A well-known necessary and sufficient condition for the operator A to be the infinitesimal generator...