[图书][B] Approximations and endomorphism algebras of modules

R Göbel, J Trlifaj - 2006 - degruyter.com
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 …

Localizations of abelian Eilenberg–Mac Lane spaces of finite type

C Casacuberta, J Rodríguez, JY Tai - Algebraic & Geometric Topology, 2016 - msp.org
We prove that every homotopical localization of the circle S 1 is an aspherical space whose
fundamental group A is abelian and admits a ring structure with unit such that the evaluation …

The A-core and A-cover of a group

W Chacholski, E Damian, ED Farjoun, Y Segev - Journal of Algebra, 2009 - Elsevier
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 …

Cellular covers of abelian groups

L Fuchs, R Göbel - Results in Mathematics, 2009 - Springer
We are investigating cellular covers of abelian groups (for definition, see Preliminaries).
Surjective cellular covers of divisible abelian groups have been characterized in a recent …

[HTML][HTML] Idempotent transformations of finite groups

M Blomgren, W Chachólski, ED Farjoun… - Advances in Mathematics, 2013 - Elsevier
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 …

Cellular covers of cotorsion-free modules

R Göbel, JL Rodríguez, L Strüngmann - arXiv preprint arXiv:0906.4183, 2009 - arxiv.org
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 …

Cellular covers of divisible uniserial modules over valuation domains

L Fuchs, B Goldsmith, L Salce… - Forum Mathematicum, 2024 - degruyter.com
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 …

The cellular structure of the classifying spaces of finite groups

RJ Flores, RM Foote - Israel Journal of Mathematics, 2011 - Springer
THE CELLULAR STRUCTURE OF THE CLASSIFYING SPACES OF FINITE GROUPS Page
1 ISRAEL JOURNAL OF MATHEMATICS 184 (2011), 129–156 DOI: 10.1007/s11856-011-0062-0 …

Torsion homology and cellular approximation

R Flores, F Muro - Algebraic & Geometric Topology, 2019 - msp.org
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 …

On cellular covers with free kernels

JL Rodríguez, L Strüngmann - Mediterranean Journal of Mathematics, 2012 - Springer
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 …