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Approximate characterizations of projectivity and injectivity for Banach modules a characterization of contractible Banach algebras given by F. Ghahramani and R. J. Loy. As a
Biprojectivity and biflatness for convolution algebras of nuclear operatorsFor a locally compact group G, the convolution product on the space N(Lp(G)) of nuclear operators
Arens-Michael enveloping algebras and analytic smash productsLet g be a finite-dimensional complex Lie algebra, and let Û(g) be its universal enveloping algebra
Stably flat completions of universal enveloping algebrasLet g be a complex Lie algebra, and let U(g) be its universal enveloping algebra. We study homo
Homological bidimension of biprojective topological algebras and nuclearity, in particular Köthe sequence spaces. It is a well-known result of Khelemskiĭ that biprojective Banach algebras
Weak homological dimensions and biflat Köthe algebrasThe homological properties of metrizable Köthe algebras λ(P) are studied. A criterion
Arens-Michael envelopes, homological epimorphisms, and relatively quasifree algebras algebra is a reasonable candidate to serve for this purpose. It is the completion with respect to all
Flat cyclic Fréchet modules, amenable Fréchet algebras, and approximate identitiesLet A be a locally m-convex Fréchet algebra. We give a necessary and suffcient condition for a
Strictly flat cyclic Frechet modules and approximate identitiesLet A be a locally m-convex Frechet algebra. We give a necessary and sufficient condition for a
Weak homological dimensions and biflat Köthe algebras>$\lambda(P)$. Получен критерий биплоскости алгебры $A=\lambda(P)$ в терминах множества Кёте
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