On selfinjective algebras of Euclidean type
On self-injective algebras of finite representation type
We describe the structure of finite-dimensional self-injective algebras of finite representation type over a field whose stable Auslander-Reiten quiver has a sectional module not lying on a short chain.
On selfinjective algebras of tilted type
We provide a characterization of all finite-dimensional selfinjective algebras over a field K which are socle equivalent to a prominent class of selfinjective algebras of tilted type.
On selfinjective algebras without short cycles in the component quiver
We give a complete description of all finite-dimensional selfinjective algebras over an algebraically closed field whose component quiver has no short cycles.
On selfinjective artin algebras having nonperiodic generalized standard Auslander-Reiten components
We describe the structure of all selfinjective artin algebras having at least three nonperiodic generalized standard Auslander-Reiten components. In particular, all selfinjective artin algebras having a generalized standard Auslander-Reiten component of Euclidean type are described.
On semiabelian -regular rings.
On semifir monoid rings.
We give a new condition on a monoid M for the monoid ring F[M] to be a 2-fir. Furthermore, we construct a monoid M that satisfies all the currently known necessary conditions for F[M] to be a semifir and that the group of units of M is trivial, but M is not a directed union of free monoids.
On semigroup algebras satysfying polynomial identities.
On semigroup graded PI-algebras.
On semigroup rings.
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 semiprime twisted semigroup rings.
On separable Abelian extensions of rings.
On separable extensions of group rings and quaternion rings.
On Separable Subalgebras of Azumaya Algebras
On several varieties of cacti and their relations.
On Signatures of Green Functors.
On simple distributively generated near-rings
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 small injective, simple-injective and quasi-Frobenius rings.