On anti-inverse rings.
On center-like elements in rings.
On commutativity of one-sided -unital rings.
On commutativity of P.I. rings.
On commutativity of P.I. rings. (Short Communication).
On commutativity of rings with constraints on subsets
On commutativity theorems for rings.
On derivations and commutativity in prime rings.
On Kolchin's theorem.
A well-known theorem due to Kolchin states that a semi-group G of unipotent matrices over a field F can be brought to a triangular form over the field F [4, Theorem H]. Recall that a matrix A is called unipotent if its only eigenvalue is 1, or, equivalently, if the matrix I - A is nilpotent.Many years ago I noticed that this result of Kolchin is an immediate consequence of a too-little known result due to Wedderburn [6]. This result of Wedderburn asserts that if B is a finite dimensional algebra...
On non-Spechtianness of the variety of associative rings that satisfy the identity .
On primary and reduced varieties of monoassociative algebras.
On pure semisimplicity and representation-finite piecewise prime rings
On right ideals and derivations in prime rings with Engel condition
On rings satisfying certain polynomial identities.
On Rings with Polynomial Identity xn-x=0
On semigroup algebras satysfying polynomial identities.
On semigroup graded PI-algebras.
On semi-invariants of tilted algebras of type Aₙ
We prove that for algebras obtained by tilts from the path algebras of equioriented Dynkin diagrams of type Aₙ, the rings of semi-invariants are polynomial.
On skew derivations as homomorphisms or anti-homomorphisms
Let be a prime ring with center and be a nonzero ideal of . In this manuscript, we investigate the action of skew derivation of which acts as a homomorphism or an anti-homomorphism on . Moreover, we provide an example for semiprime case.
On structure of certain periodic rings and near-rings.