Eine axiomatische Kennzeichnung der Determinante auf endlich-erzeugten, projektiven Moduln.
Eine Verallgemeinerung des Lemmas von Nakayama.
Einer Engelbedingung genügende Ringe.
Elementarteilertheorie ?ber Maximalordnungen.
Elements in exchange rings with related comparability.
Éléments tertiaires d'une (T)-algèbre
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
Endomorphism algebras of complex tori.
Endomorphism representations of Zorn rings and subclasses of rings with enough idempotents.
Endomorphism Rings of Projective Modules.
Energy estimate for wave equations with coefficients in some Besov type class.
Epis and monos which must be isos.
Equivalent Categories of Divisible Modules.
Errata-Corrige : “Linearly compact rings and strongly quasi-injective modules”
Erratum to "On rings with a unique proper essential right ideal" (Fund. Math. 183 (2004), 229-244)
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.
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...
Étude des sous-modules compléments dans un A-module
Eventually semisimple weak -extending modules
In this article, we study modules with the weak -extending property. We prove that if satisfies weak -extending, pseudo duo, properties and has finite uniform dimension then decomposes into a direct sum of a semisimple submodule and a submodule of finite uniform dimension. In particular, if satisfies the weak -extending, pseudo duo, properties and ascending (or descending) chain condition on essential submodules then for some semisimple submodule and Noetherian (or Artinian, respectively)...