Erratum to On feebly nil-clean rings
Erratum to "On rings with a unique proper essential right ideal" (Fund. Math. 183 (2004), 229-244)
Erweiterung topologischer Halbringe durch Quotienten- und Differenzenbildung.
Erweiterungen eines Ringes durch eine direkte Summe zyklischer Ringe.
Essai d'une théorie noethérienne homogène pour les anneaux commutatifs dont la graduation est aussi générale que possible
Essai d'une théorie noethérienne homogène pour les anneaux commutatifs dont la graduation est aussi générale que possible
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.
Essential properties of pro-objects in Grothendieck categories
Estimates of global dimension
In this note we show that for a -module, in particular, an almost -tilting module, over a ring with such that has finite flat dimension, the upper bound of the global dimension of can be estimated by the global dimension of and hence generalize the corresponding results in tilting theory and the ones in the theory of -modules. As an application, we show that for a finitely generated projective module over a VN regular ring , the global dimension of its endomorphism ring is not more...
Etendre les representations autoduales.
Étude des sous-modules compléments dans un A-module
Euclidean components for a class of self-injective algebras
We determine the length of composition series of projective modules of G-transitive algebras with an Auslander-Reiten component of Euclidean tree class. We thereby correct and generalize a result of Farnsteiner [Math. Nachr. 202 (1999)]. Furthermore we show that modules with certain length of composition series are periodic. We apply these results to G-transitive blocks of the universal enveloping algebras of restricted p-Lie algebras and prove that G-transitive principal blocks only allow components...
Euklidischer Algorithmus und die Gruppe GL.
Euler Characteristic and Characters of Discrete Groups.
Eulerian idempotent and Kashiwara-Vergne conjecture
By using the interplay between the Eulerian idempotent and the Dynkin idempotent, we construct explicitly a particular symmetric solution of the first equation of the Kashiwara-Vergne conjectureThen, we explicit all the solutions of the equation in the completion of the free Lie algebra generated by two indeterminates and thanks to the kernel of the Dynkin idempotent.
Every Cotorsion-free Algebra is an Endomorphism Algebra.
Exact Borel subalgebras of quasi-heriditary algebras, I (with an appendix by Leonard Scott).
Exact sequences for mixed coproduct/ tensor-product ring constructions.
To a commutative ring K, and a family of K-algebras indexed by the vertex set of a graph, we associate a K-algebra obtained by a mixture of coproduct and tensor product constructions. For this, and related constructions, we give exact sequences and deduce homological properties.
Exact sequences of pairs in commutative rings
Examples of polynomial identities distinguishing the Galois objects over finite-dimensional Hopf algebras
We define polynomial -identities for comodule algebras over a Hopf algebra and establish general properties for the corresponding -ideals. In the case is a Taft algebra or the Hopf algebra , we exhibit a finite set of polynomial -identities which distinguish the Galois objects over up to isomorphism.