Add to ORKGNecessary and sufficient conditions are given to guarantee associativity of algebras and co-algebras. As main application, it is discussed the associativity of the tensor algebra T(V) of a free module V over any commutative ring R
AbstractThe main aim of this paper is the adaptation of the results of the papers [Y.A. Bahturin, S....
AbstractIt is shown that any associative algebra R over a commutative ring k such that Rn + 1 = {0} ...
A detailed account of main results in the theory of differential tensor algebras
Necessary and sufficient conditions are given to guarantee associativity of algebras and co-algebras...
AbstractLet R=⊕g∈GRg be a G-graded ring. We describe all types of gradings on R if G is torsion free...
AbstractWe continue the study of the lower central series and its associated graded components for a...
We prove that every finite-dimensional homogeneously simple associative algebra over an algebraicall...
AbstractWe study the notion of Γ-graded commutative algebra for an arbitrary abelian group Γ. The ma...
AbstractIn this paper we discuss graded subalgebras of the tensor algebra T(V) that are closed under...
AbstractLet k be a commutative ring with 1, R an associative k-algebra without 1, and n a positive i...
We introduce the new notion of ε-graded associative algebras which takes its roots from the notion o...
The algorithmic recognition ability of the properties in the finite-generated associative algebras w...
AbstractLet E be a subalgebra of a free associative algebra F (with unit element) over a field K. Le...
AbstractIn his pioneering work on deformation theory of associative algebras, Gerstenhaber created a...
For a twisted partial action e of a group G on an (associative non-necessarily unital) algebra A ove...
AbstractThe main aim of this paper is the adaptation of the results of the papers [Y.A. Bahturin, S....
AbstractIt is shown that any associative algebra R over a commutative ring k such that Rn + 1 = {0} ...
A detailed account of main results in the theory of differential tensor algebras
Necessary and sufficient conditions are given to guarantee associativity of algebras and co-algebras...
AbstractLet R=⊕g∈GRg be a G-graded ring. We describe all types of gradings on R if G is torsion free...
AbstractWe continue the study of the lower central series and its associated graded components for a...
We prove that every finite-dimensional homogeneously simple associative algebra over an algebraicall...
AbstractWe study the notion of Γ-graded commutative algebra for an arbitrary abelian group Γ. The ma...
AbstractIn this paper we discuss graded subalgebras of the tensor algebra T(V) that are closed under...
AbstractLet k be a commutative ring with 1, R an associative k-algebra without 1, and n a positive i...
We introduce the new notion of ε-graded associative algebras which takes its roots from the notion o...
The algorithmic recognition ability of the properties in the finite-generated associative algebras w...
AbstractLet E be a subalgebra of a free associative algebra F (with unit element) over a field K. Le...
AbstractIn his pioneering work on deformation theory of associative algebras, Gerstenhaber created a...
For a twisted partial action e of a group G on an (associative non-necessarily unital) algebra A ove...
AbstractThe main aim of this paper is the adaptation of the results of the papers [Y.A. Bahturin, S....
AbstractIt is shown that any associative algebra R over a commutative ring k such that Rn + 1 = {0} ...
A detailed account of main results in the theory of differential tensor algebras