Étude des sous-modules compléments dans un A-module
Euler Characteristic and Characters of Discrete Groups.
Every Cotorsion-free Algebra is an Endomorphism Algebra.
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.
Existentially closed Leibniz algebras and an embedding theorem
In this paper we introduce the notion of existentially closed Leibniz algebras. Then we use HNN-extensions of Leibniz algebras in order to prove an embedding theorem.
Exponential polynomials and -modules
Exponentiation de la dérivation, et intégration des séries en variables non commutatives
Exponents of Subvarieties of Upper Triangular Matrices over Arbitrary Fields are Integral
Partially supported by grant RFFI 98-01-01020.Let Uc be the variety of associative algebras generated by the algebra of all upper triangular matrices, the field being arbitrary. We prove that the upper exponent of any subvariety V ⊂ Uc coincides with the lower exponent and is an integer.
Ext and von Neumann regular rings
Ext-algebras and derived equivalences
Using derived categories, we develop an alternative approach to defining Koszulness for positively graded algebras where the degree zero part is not necessarily semisimple.
Extending Group Modules in a Relatively Prime Case.
Extending modules relative to a torsion theory
An -module is said to be an extending module if every closed submodule of is a direct summand. In this paper we introduce and investigate the concept of a type 2 -extending module, where is a hereditary torsion theory on -. An -module is called type 2 -extending if every type 2 -closed submodule of is a direct summand of . If is the torsion theory on - corresponding to an idempotent ideal of and is a type 2 -extending -module, then the question of whether or not is...
Extension d'un théorème de Pólya-Cantor à des séries rationnelles en variables non commutatives
Extension functors on the category of -solvable abelian groups
Extension-closure and attainability for varieties of algebras with involution
Extensions of abelian by hyper-(cyclic or finite) groups (II)
Extensions of -rings
It is shown that a ring is a -ring if and only if there exists a complete orthogonal set of idempotents such that all are -rings. We also investigate -rings for Morita contexts, module extensions and power series rings.
Extensions of hereditary algebras.
Extensions of nilpotent blocks.
Extreme preservers of maximal column rank inequalities of matrix sums over semirings
We characterize linear operators that preserve sets of matrix ordered pairs which satisfy extreme properties with respect to maximal column rank inequalities of matrix sums over semirings.