-density, -adic completion and -subgeneration
Matrices carrées sur l'algèbre de Weyl
Matrices over upper triangular bimodules and Δ-filtered modules over quasi-hereditary algebras
Let Λ be a directed finite-dimensional algebra over a field k, and let B be an upper triangular bimodule over Λ. Then we show that the category of B-matrices mat B admits a projective generator P whose endomorphism algebra End P is quasi-hereditary. If A denotes the opposite algebra of End P, then the functor Hom(P,-) induces an equivalence between mat B and the category ℱ(Δ) of Δ-filtered A-modules. Moreover, any quasi-hereditary algebra whose category of Δ-filtered modules is equivalent to mat...
Matrix rings with summand intersection property
A ring has right SIP (SSP) if the intersection (sum) of two direct summands of is also a direct summand. We show that the right SIP (SSP) is the Morita invariant property. We also prove that the trivial extension of by has SIP if and only if has SIP and for every idempotent in . Moreover, we give necessary and sufficient conditions for the generalized upper triangular matrix rings to have SIP.
Maximal quotient rings and essential right ideals in group rings of locally finite groups.
Let k be a commutative field. Let G be a locally finite group without elements of order p in case char k = p > 0. In this paper it is proved that the type I∞ part of the maximal right quotient ring of the group algebra kG is zero.
Maximal (semi-)lattices of fractions and injective hulls.
Minimal prime ideals of skew polynomial rings and near pseudo-valuation rings
Let be a ring. We recall that is called a near pseudo-valuation ring if every minimal prime ideal of is strongly prime. Let now be an automorphism of and a -derivation of . Then is said to be an almost -divided ring if every minimal prime ideal of is -divided. Let be a Noetherian ring which is also an algebra over ( is the field of rational numbers). Let be an automorphism of such that is a -ring and a -derivation of such that for all . Further, if for any...
Minimum distances of error-correcting codes in incidence rings.
Modèle de Whittaker et ideaux primitifs complètement premiers dans les algèbres enveloppantes des algèbres de Lie semisimples complexes II.
Module classifying functors
Modules Graded by G-sets.
Modules in the sources of Green's exact sequences for cyclic blocks.
Modules Over Arbitrary Domains.
Modules over arbitrary domains II
Modules over Group Algebras and Their Application in the Study of Semi -Simplicity.
Modules over group rings of soluble groups with a certain condition of maximality
Let A be an R G-module, where R is an integral domain and G is a soluble group. Suppose that C G(A) = 1 and A/C A(G) is not a noetherian R-module. Let L nnd(G) be the family of all subgroups H of G such that A/C A(H) is not a noetherian R-module. In this paper we study the structure of those G for which L nnd(G) satisfies the maximal condition.
Modules Over Matrix Near-Rings and the ...-Radical.
Modules simples sur une algèbre de Lie nilpotente contenant un vecteur propre pour une sous-algèbre
Modules sur certains anneaux de Dedekind.
Modules -critiques et notions connexes