A result of commutativity of rings.
Centers in domains with quadratic growth
Let F be a field, and let R be a finitely-generated F-algebra, which is a domain with quadratic growth. It is shown that either the center of R is a finitely-generated F-algebra or R satisfies a polynomial identity (is PI) or else R is algebraic over F. Let r ∈ R be not algebraic over F and let C be the centralizer of r. It is shown that either the quotient ring of C is a finitely-generated division algebra of Gelfand-Kirillov dimension 1 or R is PI.
Commutativity theorems for rings with constraints on commutators.
Medial rings and an associated radical
Note sur la méthode d'élimination de Bezout
On commutativity of one-sided -unital rings.
On commutativity of rings with constraints on subsets
On rings satisfying certain polynomial identities.
On semigroup graded PI-algebras.
On the degree of nilpotency of the radical of relatively free algebras.
Permutation Identity Near-RIngs and "Localized" Distributivity Conditions.
Subrings of I-rings and S-rings.
The rings which are Boolean
We study unitary rings of characteristic 2 satisfying identity for some natural number p. We characterize several infinite families of these rings which are Boolean, i.e., every element is idempotent. For example, it is in the case if or or for a suitable natural number n. Some other (more general) cases are solved for p expressed in the form or where q is a natural number and .
The rings which are Boolean. II.
О сложности нематричных многообразий ассоциативных алгебр.I
О сложности нематричных многообразий ассоциативных алгебр.II
Обобщенные полиномиальные тождества и кольца, являющиеся суммами двух подколец