La dimension de Gel'fand-Kirillov
La théorie classique et moderne des fonctions symétriques
L'algorithme inverse faible et quelques anneaux qui le possèdent
Le théorème de Skolem-Noether pour les modules sur des anneaux principaux
Soit un anneau principal et un -module de torsion de type fini. Nous donnons une preuve élémentaire du fait que tout automorphisme de -algèbre de est intérieur.
Lectures on minimal models
Left APP-property of formal power series rings
A ring is called a left APP-ring if the left annihilator is right -unital as an ideal of for any element . We consider left APP-property of the skew formal power series ring where is a ring automorphism of . It is shown that if is a ring satisfying descending chain condition on right annihilators then is left APP if and only if for any sequence of elements of the ideal
Left Derivations on skew Polynomial rings
Left EM rings
Let be the polynomial ring over a ring with unity. A polynomial is referred to as a left annihilating content polynomial (left ACP) if there exist an element and a polynomial such that and is not a right zero-divisor polynomial in . A ring is referred to as left EM if each polynomial is a left ACP. We observe the structure of left EM rings with various properties, and study the relationships between the one-sided EM condition and other standard ring theoretic conditions. Moreover,...
Left zero covering homomorphisms of laminated nearrings.
Les groupes de transvections des espaces symétriques associés à une algèbre de Jordan de forme réelle
Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0.
Lie derivations of dual extensions of algebras
Let K be a field and Γ a finite quiver without oriented cycles. Let Λ := K(Γ,ρ) be the quotient algebra of the path algebra KΓ by the ideal generated by ρ, and let 𝒟(Λ) be the dual extension of Λ. We prove that each Lie derivation of 𝒟(Λ) is of the standard form.
Lie ideals and Jordan triple derivations in rings
Lie ideals in prime Γ-rings with derivations
Let M be a 2 and 3-torsion free prime Γ-ring, d a nonzero derivation on M and U a nonzero Lie ideal of M. In this paper it is proved that U is a central Lie ideal of M if d satisfies one of the following (i) d(U)⊂ Z, (ii) d(U)⊂ U and d²(U)=0, (iii) d(U)⊂ U, d²(U)⊂ Z.
Lie solvable groups algebras of derived length three.
Let K be a field of characteristic p > 2 and let G be a group. Necessary and sufficient conditions are obtained so that the group algebra KG is strongly Lie solvable of derived length at most 3. It is also shown that these conditions are equivalent to KG Lie solvable of derived length 3 in characteristic p ≥ 7.
Lifting differential operators from orbit spaces
Linear connections on almost commutative algebras.
Linear equations in nilpotent Lie rings. (Equations linéaires dans les anneaux nilpotents au sens de Lie.)
Linear right ideal nearrings.
Linearly compact chain rings.