Semiprime ideals of skew polynomial rings.
Skew inverse power series rings over a ring with projective socle
A ring is called a right -ring if its socle, , is projective. Nicholson and Watters have shown that if is a right -ring, then so are the polynomial ring and power series ring . In this paper, it is proved that, under suitable conditions, if has a (flat) projective socle, then so does the skew inverse power series ring and the skew polynomial ring , where is an associative ring equipped with an automorphism and an -derivation . Our results extend and unify many existing results....
Skew polynomial extensions over zip rings.
Skew polynomial rings satisfying - property.
Skew semigroup rings.
Tauvel's height formula in iterated differential operator rings.
The algebra of the subspace semigroup of
The semigroup of subspaces of the algebra of 2 × 2 matrices over a finite field is studied. The ideal structure of S, the regular -classes of S and the structure of the complex semigroup algebra ℂ[S] are described.
The Armendariz module and its application to the Ikeda-Nakayama module.
The existence of identity of orthodox semigroup rings.
The general structure of inverse polynomial modules
In this paper we compute injective, projective and flat dimensions of inverse polynomial modules as -modules. We also generalize Hom and Ext functors of inverse polynomial modules to any submonoid but we show Tor functor of inverse polynomial modules can be generalized only for a symmetric submonoid.
The group of automorphisms of the coordinate ring of quantum symplectic space.
The primitivity of semigroup algebras of free products.
The radicalness of polynomial rings over nil rings.
The resultant of non-commutative polynomials
The Strong Anick Conjecture is true
Recently Umirbaev has proved the long-standing Anick conjecture, that is, there exist wild automorphisms of the free associative algebra over a field of characteristic 0. In particular, the well-known Anick automorphism is wild. In this article we obtain a stronger result (the Strong Anick Conjecture that implies the Anick Conjecture). Namely, we prove that there exist wild coordinates of . In particular, the two nontrivial coordinates in the Anick automorphism are both wild. We establish a...
Transparent rings and their extensions.
Two-sided essential nilpotence.
Universal semigroups.
Группы частных мультипликативных полугрупп некоторых колец. I
Группы частных мультипликативных полугрупп некоторых колец. III