3 citations · 10 across the 8 of their papers we have counts for
8 papers
Irreducible Graded Bimodules over Algebras and a Pierce Decomposition of the Jacobson Radical
Antonio de França, Irina Sviridova
It is well known that the ring radical theory can be approached via language of modules. In this work, we present some generalizations of classical results from module theory, in t…
Köthe's Problem, Kurosch-Levitzki Problem and Graded Rings
Antonio de França, Irina Sviridova
Let be an associative ring graded by left cancellative monoid , and the neutral element of . We study the following problem: if $\mathfra…
Polynomial identities of the adjoint Lie algebra of
Olga Finogenova, Irina Sviridova
We search an identity basis for the adjoint Lie algebra of the algebra over a field, where is either the infinite generated Grassmann algebra or , the var…
One proof of the original Kemer's theorems (concerning the text of C. Procesi "What happened to PI-theory", arxiv.org/abs/1403.5673)
Irina Sviridova
We consider associative algebras over a field of characteristic zero. We give a version of the proof of the Kemer's theorems concerning the Specht problem solution. It is proved th…
Finite basis problem for identities with involution
Irina Sviridova
We consider associative algebras with involution over a field of characteristic zero. We proved that any algebra with involution satisfies the same identities with involution as th…
Identities of finitely generated graded algebras with involution
Irina Sviridova
We consider associative algebras with involution graded by a finite abelian group G over a field of characteristic zero. Suppose that the involution is compatible with the grading.…
Limit T-subspaces and the central polynomials in n variables of the Grassmann algebra
Dimas José Gonçalves, Alexei Krasilnikov, Irina Sviridova
Let F<X> be the free unitary associative algebra over a field F on the set X = {x_1, x_2, ...}. A vector subspace V of F<X> is called a T-subspace (or a T-space) if V is closed und…
Finitely generated algebras with involution and their identities
Irina Sviridova
Associative algebras with involution over a field of zero characteristic are considered. It is proved that in this case for any finitely generated associative algebra with involuti…