As is known (cf.[6, 12a, 12b]; meanwhile this result is in the folklore) topological functors,
which lift isomorphisms uniquely, can be generated by the topological theories of O. Wyler …

NAB<.:(A x B) x c----f*-I;.(B% C), r, 4:= 3 x I---+--I, lA: 1<.-1-*.+ J. and k,,:-4, q B--+ B '*.-I,
colzerml in the sense of Mac I, anc [28]. Also, there exists a natural isomorphism w …

Let A be a commutative noetherian ring and D the bounded derived category of finitely
generated A-modules; its objects are complexes M of A-modules such that A-module Hi (M) …

Let K be a category of topological spaces and P⊂ K a subcategory of good spaces; let
moreover CK (resp. C p) be the associated category of chain functors (cf. 1.3.) on K (resp. on …

AND V. TRNKOV A (PRAHA) 1. Introduction. Suppose that an algebra B isa reduct of an
alge-bra A.(In this case we also say that A is an expansion of B.) Clearly, the endomorphism …

Relative homological algebra hasrisen from two principal sources: Hochschild's study of
exact sequences of R-moduleswhich split as S-modules, where S is a subring of R [10], and …

These notes are based on a series of three lectures given at the Advanced Study Institute
(NATO ASI) in Algebra-Representation Theory in Constantza in August 2000. The notes are …

If R is a ring with unit let~ R denote the category of finitely generated projective left R-
modules. Algebraic K-theory (of projective modules) is a functor K:---, ag~, where stay is the …

At first glance the notions of the center of a ring or monoid and the notion of the trace of an
endomorphism of a finite dimensional vector space appear to have nothing in common. We …

The context, in which this paper is developed is a variety of n-groups,[19). This includes the
most usual algebraic categories (Groups, Associative algebras,...) in which a …