Algebraically Compact Rings and Modules.
Algebras and Quaternion Defect Groups. I.
Algebras and Quaternion Defect Groups. II.
Algebras and spaces of dense constancies
A DC-space (or space of dense constancies) is a Tychonoff space such that for each there is a family of open sets , the union of which is dense in , such that , restricted to each , is constant. A number of characterizations of DC-spaces are given, which lead to an algebraic generalization of the concept, which, in turn, permits analysis of DC-spaces in the language of archimedean -algebras. One is led naturally to the notion of an almost DC-space (in which the densely constant functions...
Algebras of polynomial growth
Algebras of quotients with bounded evaluation of a normed semiprime algebra
We deal with the algebras consisting of the quotients that produce bounded evaluation on suitable ideals of the multiplication algebra of a normed semiprime algebra A. These algebras of quotients, which contain A, are subalgebras of the bounded algebras of quotients of A, and they have an algebra seminorm for which the relevant inclusions are continuous. We compute these algebras of quotients for some norm ideals on a Hilbert space H: 1) the algebras of quotients with bounded evaluation of the ideal...
Algebras over Zero-Dimensional Rings.
Algebras, prerings, semirings and rectangular bands.
Algebras stably equivalent to trivial extensions of hereditary algebras of type
The study of stable equivalences of finite-dimensional algebras over an algebraically closed field seems to be far from satisfactory results. The importance of problems concerning stable equivalences grew up when derived categories appeared in representation theory of finite-dimensional algebras [8]. The Tachikawa-Wakamatsu result [17] also reveals the importance of these problems in the study of tilting equivalent algebras (compare with [1]). In fact, the result says that if A and B are tilting...
Algebras standardly stratified in all orders
The aim of this work is to characterize the algebras which are standardly stratified with respect to any order of the simple modules. We show that such algebras are exactly the algebras with all idempotent ideals projective. We also deduce as a corollary a characterization of hereditary algebras, originally due to Dlab and Ringel.
Algebras whose Euler form is non-negative
Algebras with Cycle-Finite Derived Categories.
Algebras with hypercritical Tits form
Algèbre à division et extensions de corps sauvagement ramifiées de degré premier.
Algèbre de Hopf des diagrammes de Feynman, renormalisation et factorisation de Wiener-Hopf
Algèbre des descentes et cogroupes dans les algèbres sur une opérade
Algebren, Darstellungsköcher, Ueberlagerungen und zurück.
Algèbres auto-injectives de représentation finie
Algèbres d'Azumaya et modules projectives.
Algèbres de Bass et extensions de Ore itérées.
We show that some iterated Ore extensions have the same behaviour with respect to injective resolutions as Gorenstein commutative rings.