[图书][B] Foundations of module and ring theory
R Wisbauer - 2018 - taylorfrancis.com
This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …
ring theory, including original results as well as the most recent work. It is a useful and …
Purity, algebraic compactness, direct sum decompositions, and representation type
B Huisgen-Zimmermann - Infinite length modules, 2000 - Springer
The idea of purity pervades human culture, from religion through sexual and moral codes,
cleansing rituals and dietary rules, to stratifications of societies into castes. It does so to an …
cleansing rituals and dietary rules, to stratifications of societies into castes. It does so to an …
Finiteness and purity of subcategories of the module categories
Z Fazelpour, A Nasr-Isfahani - arXiv preprint arXiv:2203.03294, 2022 - arxiv.org
In this paper, by using functor rings and functor categories, we study finiteness and purity of
subcategories of the module categories. We give a characterisation of contravariantly finite …
subcategories of the module categories. We give a characterisation of contravariantly finite …
Strong preinjective partitions and representation type of artinian rings
B Zimmermann-Huisgen - Proceedings of the American Mathematical …, 1990 - ams.org
It is shown that for every ring of left pure global dimension zero (ie, for every ring all of whose
left modules are direct sums of finitely generated modules), the finitely generated left …
left modules are direct sums of finitely generated modules), the finitely generated left …
The history of algebras and their representations
WH Gustafson - Representations of Algebras: Workshop Notes of the …, 2006 - Springer
In this paper, I have attempted to outline the origins of the theory of finite dimensional
algebras over fields, with particular attention to representation theory. Hence, the treatment …
algebras over fields, with particular attention to representation theory. Hence, the treatment …
[图书][B] On some precovers and preenvelopes
LA Hügel - 2000 - Citeseer
Precovers and preenvelopes were introduced in the early eighties by Enochs [48] and,
independently, by Auslander and Smalø [16]. Enochs gave a general definition in terms of …
independently, by Auslander and Smalø [16]. Enochs gave a general definition in terms of …
Locally finitely presented Grothendieck categories and the pure semisimplicity conjecture
Z Fazelpour, A Nasr-Isfahani - arXiv preprint arXiv:2401.07008, 2024 - arxiv.org
In this paper, we investigate locally finitely presented pure semisimple (hereditary)
Grothendieck categories. We show that every locally finitely presented pure semisimple …
Grothendieck categories. We show that every locally finitely presented pure semisimple …
Endomorphism rings of modules and lattices of submodules
VT Markov, AV Mikhalev, LA Skornyakov… - Journal of Soviet …, 1985 - Springer
This survey covers material in Referativnyi Zhurnal Matematika and is a continuation of AV
Mikhalev's survey in Algebra. Topology. Geometry, Vol. 12 (Itogi Nauki i Tekhniki (1974)) …
Mikhalev's survey in Algebra. Topology. Geometry, Vol. 12 (Itogi Nauki i Tekhniki (1974)) …
Direct products of modules and the pure semisimplicity conjecture
B Huisgen-Zimmermann, F Okoh - 2001 - Taylor & Francis
It is shown that, if R is either an Artin algebra or a commutative noetherian domain of Krull
dimension 1, then infinite direct products of R-modules resist direct sum decomposition as …
dimension 1, then infinite direct products of R-modules resist direct sum decomposition as …