Representation-finite selfinjective algebras of class
Rings satisfying certain chain conditions.
Rings with zero intersection property on annihilators: Zip rings.
Zelmanowitz [12] introduced the concept of ring, which we call right zip rings, with the defining properties below, which are equivalent:(ZIP 1) If the right anihilator X⊥ of a subset X of R is zero, then X1⊥ = 0 for a finite subset X1 ⊆ X.(ZIP 2) If L is a left ideal and if L⊥ = 0, then L1⊥ = 0 for a finitely generated left ideal L1 ⊆ L.In [12], Zelmanowitz noted that any ring R satisfying the d.c.c. on anihilator right ideals (= dcc ⊥) is a right zip ring, and hence, so is any subring of R. He...
Selfinjective algebras of polynomial growth.
Semigroup ring construction of Frobenius extensions.
Some results on quasi-Frobenius rings
We give some new characterizations of quasi-Frobenius rings by the generalized injectivity of rings. Some characterizations give affirmative answers to some open questions about quasi-Frobenius rings; and some characterizations improve some results on quasi-Frobenius rings.
Split-null extensions of strongly right bounded rings.
A ring is said to be strongly right bounded if every nonzero right ideal contains a nonzero ideal. In this paper strongly right bounded rings are characterized, conditions are determined which ensure that the split-null (or trivial) extension of a ring is strongly right bounded, and we characterize strongly right bounded right quasi-continuous split-null extensions of a left faithful ideal over a semiprime ring. This last result partially generalizes a result of C. Faith concerning split-null extensions...
Strongly graded left FTF rings.
An associated ring R with identity is said to be a left FTF ring when the class of the submodules of flat left R-modules is closed under injective hulls and direct products. We prove (Theorem 3.5) that a strongly graded ring R by a locally finite group G is FTF if and only if Re is left FTF, where e is a neutral element of G. This provides new examples of left FTF rings. Some consequences of this Theorem are given.
Symmetrische Algebren mit injektivem Zentrum.
The Endomorphism Ring Theorem for Frobenius Extensions.
The Indecomposable Modular Representations of Certain Groups with Dihedral Sylow Subgroup.
The Yoneda algebras of serial QF-algebras.
Unzerlegbare Moduln über artinschen Ringen.
Verallgemeinerte Fasersummen von unzerlegbaren Moduln.
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