References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …

In the present paper we continue to examine cellular covers of groups, focusing on the
cardinality and the structure of the kernel K of the cellular map G→ M. We show that in …

This paper provides a comprehensive investigation of the cellular approximation functor
cellAG, in the category of groups, approximating a group G by a group A. We also study …

We describe the action of idempotent transformations on finite groups. We show that
finiteness is preserved by such transformations and enumerate all possible values such …

In this paper we improve recent results dealing with cellular covers of $ R $-modules.
Cellular covers (sometimes called co-localizations) come up in the context of homotopical …

Recall the well-known notion of a cellular cover e: HG from algebraic topology (here for
groups and R-modules). The map e is a homomorphism such that any homomorphism: HG …

Cellular covers which originate in homotopy theory are considered here for a very special
class: divisible uniserial modules over valuation domains. This is a continuation of the study …

We describe the role of the Schur multiplier in the structure of the p–torsion of discrete
groups. More concretely, we show how the knowledge of H 2 G allows us to approximate …

Let M denote a two-dimensional Moore space (so H2 (M; Z)= 0), with fundamental group G.
The M-cellular spaces are those one can build from M by using wedges, push-outs, and …

In this paper we show that every cotorsion-free and reduced abelian group of any finite rank
(in particular, every free abelian group of finite rank) appears as the kernel of a cellular cover …