The intersection of distinct Galois subrings is not necessarily Galois
The irreducible components of the nilpotent associative algebras.
The aim of this work is to describe the irreducible components of the nilpotent complex associative algebras varieties of dimension 2 to 5 and to give a lower bound of the number of these components in any dimension.
The Kiew Algorithm for bocses applies directly to representation-finite algebras.
The Krull radical, k-primitive rings, and critical rings.
The Krull-Gabriel Dimension of the Representation Theory of a Tame Hereditary Artin Algebra and Applications to the Structure of Exact Sequences.
The Maximal Ring of Quotients of a Triangular Matrix Ring.
The nilpotency of left noetherian radical rings
The ring of quotients of R(S).
The semiring of quotients of commutative semirings
The standard form of a representation-finite algebra
The structure of primary modules
The Variety of Leibniz Algebras Defined by the Identity x(y(zt)) ≡ 0
2000 Mathematics Subject Classification: Primary: 17A32; Secondary: 16R10, 16P99, 17B01, 17B30, 20C30Let F be a field of characteristic zero. In this paper we study the variety of Leibniz algebras 3N determined by the identity x(y(zt)) ≡ 0. The algebras of this variety are left nilpotent of class not more than 3. We give a complete description of the vector space of multilinear identities in the language of representation theory of the symmetric group Sn and Young diagrams. We also show that the...
Théories de torsion et f-modules
Three-Dimensional Non-Commutative Algebras.
Tilting sheaves in representation theory of algebras.
Topological rings that generalize artinian rings.
Tor-invariance des algèbres de Lie résolubles et des algèbres filtrées
Torsion modules behaving like torsion Abelian groups
Towards a classification of homogeneous integral table algebras of degree five.
Towards a theory of Bass numbers with application to Gorenstein algebras
The notion of Gorenstein rings in the commutative ring theory is generalized to that of Noetherian algebras which are not necessarily commutative. We faithfully follow in the steps of the commutative case: Gorenstein algebras will be defined using the notion of Cousin complexes developed by R. Y. Sharp [Sh1]. One of the goals of the present paper is the characterization of Gorenstein algebras in terms of Bass numbers. The commutative theory of Bass numbers turns out to carry over with no extra changes....