A lot of well-known functors such as group homology, cyclic homology of algebras can be
described as limits of certain simply defined functors over categories of presentations. In this …

Every two-sided ideal a in the integral group ring Z [G] of a group G determines a normal
subgroup G∩(1+ a) of G. In this paper certain problems related to the identification of such …

The main idea of the theory presented in this text is the following: given a group (or
analogously an associative algebra, Lie algebra over a ring, abelian group etc.) G, we …

This paper presents a description of the fourth dimension quotient, using the theory of limits
of functors from the category of free presentations of a given group to the category of abelian …

This is a survey. The main subject of this survey is the homotopical or homological nature of
certain structures which appear in classical problems about groups, Lie rings and group …

Using Quillen's description of cyclic cohomology in terms of traces on algebra extensions
and Burghelea's computation of the cyclic homology of the group algebra of a group Π, we …

LIMITS OVER CATEGORIES OF EXTENSIONS Roman Mikhailov and Inder Bir S. Passi
Steklov Mathematical Institute, Department of Algebr Page 1 Indian J. Pure Appl. Math., 41(1) …

Abstract AK Bousfield's HZ HZ-localization of groups inverts homologically two-connected
homomorphisms of groups. JP Levine's algebraic closure of groups inverts homomorphisms …