We compare two definitions of non-generator for full AFL's, leading to two sets of non-generators for each full AFL $K$. The main result gives a necessary and sufficient condition on $K$ such that these sets coincide
This paper is a continuation of our research on $X$-extensions and full $X$-AFL's. We discuss the al...
AbstractIn this article the basic notions of a theory of Gröbner bases for ideals in the non-associa...
Recently, Zhang and Luo proved that a certain semigroup L of order six is non-finitely based. The ma...
We compare two definitions of non-generator for full AFL's, leading to two sets of non-generators fo...
As well-known, in a finitary algebraic structure the set $\Gamma$ of all the non-generators is the i...
Abstract. We classify the elements of an (universal) algebra A with regard to the following properti...
AbstractS.A. Greibach proved in “Chains of full AFL's” a very useful property concerning substitutio...
A (full) principal AFL is a (full) AFL generated by a single language, i.e., it is thesmallest (full...
A subset X of a group (or a ring, or a field) is called generating, if the smallest subgroup (or sub...
Let G be a finite group. It has recently been proved that every nontrivial element of G is contained...
For a full semi-AFL K, B(K) is defined as the family of languages generated by all K-extended basic ...
Two languages, and , are introduced for each finitely encoded AFA . Then two conditions on are pre...
A study is made of necessary conditions in order for a bounded language V to be in the smallest [ful...
In the presented work we define non-commutative Gröbner bases including the necessary basis of non- ...
While many familiar varieties have a minimal varietal generator, i.e., a regular projective nitely p...
This paper is a continuation of our research on $X$-extensions and full $X$-AFL's. We discuss the al...
AbstractIn this article the basic notions of a theory of Gröbner bases for ideals in the non-associa...
Recently, Zhang and Luo proved that a certain semigroup L of order six is non-finitely based. The ma...
We compare two definitions of non-generator for full AFL's, leading to two sets of non-generators fo...
As well-known, in a finitary algebraic structure the set $\Gamma$ of all the non-generators is the i...
Abstract. We classify the elements of an (universal) algebra A with regard to the following properti...
AbstractS.A. Greibach proved in “Chains of full AFL's” a very useful property concerning substitutio...
A (full) principal AFL is a (full) AFL generated by a single language, i.e., it is thesmallest (full...
A subset X of a group (or a ring, or a field) is called generating, if the smallest subgroup (or sub...
Let G be a finite group. It has recently been proved that every nontrivial element of G is contained...
For a full semi-AFL K, B(K) is defined as the family of languages generated by all K-extended basic ...
Two languages, and , are introduced for each finitely encoded AFA . Then two conditions on are pre...
A study is made of necessary conditions in order for a bounded language V to be in the smallest [ful...
In the presented work we define non-commutative Gröbner bases including the necessary basis of non- ...
While many familiar varieties have a minimal varietal generator, i.e., a regular projective nitely p...
This paper is a continuation of our research on $X$-extensions and full $X$-AFL's. We discuss the al...
AbstractIn this article the basic notions of a theory of Gröbner bases for ideals in the non-associa...
Recently, Zhang and Luo proved that a certain semigroup L of order six is non-finitely based. The ma...