Complete radicals of some group rings.
Completely O-simple multiplicative ideals of rings.
Composition-diamond lemma for modules
We investigate the relationship between the Gröbner-Shirshov bases in free associative algebras, free left modules and “double-free” left modules (that is, free modules over a free algebra). We first give Chibrikov’s Composition-Diamond lemma for modules and then we show that Kang-Lee’s Composition-Diamond lemma follows from it. We give the Gröbner-Shirshov bases for the following modules: the highest weight module over a Lie algebra , the Verma module over a Kac-Moody algebra, the Verma module...
Compositions on the ring of polynomials in two indeterminates.
Computation of the mapping of factorization by the radical for of the endomorphism ring.
Computing homomorphism spaces between modules over finite dimensional algebras.
Concerning Colimits in the Category of Noncommutative Algebras
Connected Algebras and Universal Covering
Constructing Units in commutative group rings.
Construction of Auslander-Gorenstein local rings as Frobenius extensions
Starting from an arbitrary ring R we provide a systematic construction of ℤ/nℤ-graded rings A which are Frobenius extensions of R, and show that under mild assumptions, A is an Auslander-Gorenstein local ring if and only if so is R.
Constructions and homological properties of simple von Neumann regular rings
Constructions of Auslander-Reiten Quivers for a Class of Group Rings.
Control subgroups and birational extensions of graded rings.
Correction to "Finite Rings with a Specified Group of Units".
Correction to: "Group Algebras of Finite Representation Type". Math. Z. 182, 129 - 148 (1983).
Correction to "The universal skew field of fractions of a tensor product of free rings" (Colloq. Math. 72 (1997), 1-8)
Corrigendum to: "Aspherical four-manifolds and the centres of two-knot groups".
Corrigendum to the paper " Quotient rings and one-sided primes".
Cotorsion-free algebras as endomorphism algebras in - the discrete and topological cases
The discrete algebras over a commutative ring which can be realized as the full endomorphism algebra of a torsion-free -module have been investigated by Dugas and Göbel under the additional set-theoretic axiom of constructibility, . Many interesting results have been obtained for cotorsion-free algebras but the proofs involve rather elaborate calculations in linear algebra. Here these results are rederived in a more natural topological setting and substantial generalizations to topological...
Counting solutions of decomposable form equations