Autocompact objects of Ab5 categories
J Dvořák, J Žemlička - arXiv preprint arXiv:2102.04818, 2021 - arxiv.org
The aim of the paper is to describe autocompact objects in Ab5-categories, ie objects in
cocomplete abelian categories with exactness preserving filtered colimits of exact …
cocomplete abelian categories with exactness preserving filtered colimits of exact …
Warfield dualities induced by self-small mixed groups
S Breaz - 2010 - degruyter.com
Warfield dualities induced by self-small mixed groups Page 1 J. Group Theory 13 (2010),
391–409 DOI 10.1515/JGT.2009.057 Journal of Group Theory ( de Gruyter 2010 Warfield …
391–409 DOI 10.1515/JGT.2009.057 Journal of Group Theory ( de Gruyter 2010 Warfield …
On products of self-small abelian groups.
J Dvořák - Studia Universitatis Babes-Bolyai, Mathematica, 2015 - search.ebscohost.com
An abelian group A is called self-small if direct sums of copies of A commute with the
covariant Hom (A,-) functor. The paper presents an elementary example of a non-self-small …
covariant Hom (A,-) functor. The paper presents an elementary example of a non-self-small …
[PDF][PDF] Self-small products of abelian groups
J Dvorák, J Žemlicka - Commentat. Math. Univ. Carol, 2022 - cmuc.karlin.mff.cuni.cz
Let A and B be two abelian groups. The group A is called B-small if the covariant functor
Hom (A,−) commutes with all direct sums B (κ) and A is self-small provided it is A-small. The …
Hom (A,−) commutes with all direct sums B (κ) and A is self-small provided it is A-small. The …
[PDF][PDF] Constructing large self-small modules
GC Modoi - arXiv preprint arXiv:1811.07165, 2018 - arxiv.org
arXiv:1811.07165v2 [math.RA] 16 Dec 2018 Page 1 arXiv:1811.07165v2 [math.RA] 16 Dec
2018 CONSTRUCTING LARGE SELF–SMALL MODULES GEORGE CIPRIAN MODOI …
2018 CONSTRUCTING LARGE SELF–SMALL MODULES GEORGE CIPRIAN MODOI …
On modules and rings with the restricted minimum condition
M Koşan, J Žemlička - Colloquium Mathematicum, 2015 - infona.pl
A module M satisfies the restricted minimum condition if M/N is artinian for every essential
submodule N of M. A ring R is called a right RM-ring whenever $ R_ {R} $ satisfies the …
submodule N of M. A ring R is called a right RM-ring whenever $ R_ {R} $ satisfies the …
Self-small products of abelian groups
J Dvořák, J Žemlička - arXiv preprint arXiv:2102.11443, 2021 - arxiv.org
For abelian groups $ A, B $, $ A $ is called $ B $-small if the covariant functor $ Hom (A,-) $
commutes with all direct sums $ B^{(\kappa)} $ and $ A $ is self-small provided it is $ A …
commutes with all direct sums $ B^{(\kappa)} $ and $ A $ is self-small provided it is $ A …
[PDF][PDF] Вполне разложимые однородные факторно делимые абелевы группы
ЕВ Гордеева, АА Фомин - Чебышевский сборник, 2019 - chebsbornik.ru
Аннотация Изучение абелевых групп без кручения конечного ранга было начато в
работах ЛС Понтрягина [1], АГ Куроша [2], АИ Мальцева [3], Д. Дерри [4], Р. Бэра [5], Р …
работах ЛС Понтрягина [1], АГ Куроша [2], АИ Мальцева [3], Д. Дерри [4], Р. Бэра [5], Р …
[PDF][PDF] ON THE SCHRODER-BERNSTEIN PROPERTY FOR ABELIAN GROUPS
MT KOSAN, JAN ZEMLICKA - 2024 - karlin.mff.cuni.cz
A right R-module M satisfies the Schröder-Bernstein property, if whenever direct summands,
say N and K, of M are d-subisomorphic to each other (ie if N is isomorphic to a direct …
say N and K, of M are d-subisomorphic to each other (ie if N is isomorphic to a direct …