-rings and differential polynomials over universal fields
Einfache Algebren und projektive Darstellungen über Zahlkörpern.
Embedding torsionless modules in projectives.
In this paper we study a condition right FGTF on a ring R, namely when all finitely generated torsionless right R-modules embed in a free module. We show that for a von Neuman regular (VNR) ring R the condition is equivalent to every matrix ring Rn is a Baer ring; and this is right-left symmetric. Furthermore, for any Utumi VNR, this can be strengthened: R is FGTF iff R is self-injective.
Embeddings of Kronecker modules into the category of prinjective modules and the endomorphism ring problem
Endliche Hopfalgebren.
Endomorphism algebras of exceptional sequences over path algebras of type
Endomorphism algebras over large domains
The paper deals with realizations of R-algebras A as endomorphism algebras End G ≅ A of suitable R-modules G over a commutative ring R. We are mainly interested in the case of R having "many prime ideals", such as R = ℝ[x], the ring of real polynomials, or R a non-discrete valuation domain
Endomorphism rings of -comodule algebras.
Endomorphism rings of maximal rigid objects in cluster tubes
We describe the endomorphism rings of maximal rigid objects in the cluster categories of tubes. Moreover, we show that they are gentle and have Gorenstein dimension 1. We analyse their representation theory and prove that they are of finite type. Finally, we study the relationship between the module category and the cluster tube via the Hom-functor.
Endomorphism Rings of Projective Modules.
Endomorphism rings of regular modules over wild hereditary algebras
Let H be a connected wild hereditary path algebra. We prove that if Z is a quasi-simple regular brick, and [r]Z indecomposable regular of quasi-length r and with quasi-top Z, then .
Endomorphism rings of valued vector spaces
Endomorphisms and product bases of the Baer-Specker group.
Epimorphic Extensions of Non-Commutative Rings
Equivalence of von Neumann regular and idempotent matrices
Equivariant one-parameter deformations of associative algebra morphisms
We introduce equivariant formal deformation theory of associative algebra morphisms. We also present an equivariant deformation cohomology of associative algebra morphisms and using this we study the equivariant formal deformation theory of associative algebra morphisms. We discuss some examples of equivariant deformations and use the Maurer-Cartan equation to characterize equivariant deformations.
Errata-Corrige : “Linearly compact rings and strongly quasi-injective modules”
Erweiterungen eines Ringes durch eine direkte Summe zyklischer Ringe.
Essential Cover and Closure
2000 Mathematics Subject Classification: 16N80, 16S70, 16D25, 13G05.We construct some new examples showing that Heyman and Roos construction of the essential closure in the class of associative rings can terminate at any finite or the first infinite ordinal.
Etendre les representations autoduales.