[图书][B] Modules over discrete valuation domains

PA Krylov, AA Tuganbaev - 2008 - degruyter.com
References Page 1 References [1] FW Anderson and KR Fuller, Rings and Categories of
Modules, SpringerVerlag, New York (1974). [2] VI Arnautov, ST Glavatsky, and AV Mikhalev …

Modules over discrete valuation domains. I

PA Krylov, AA Tuganbaev - Journal of Mathematical Sciences, 2007 - Springer
Discrete valuation domains form a class of local domains close to division rings. However, it
follows from our definition that a division ring is not a discrete valuation domain. A discrete …

The role of the Jacobson radical in isomorphism theorems

M Flagg - Contemp. Math, 2012 - books.google.com
The Baer-Kaplansky theorem states that two torsion groups are isomorphic if and only if their
endomorphism rings are isomorphic rings. Let R be a discrete valuation domain. If R is …

The Jacobson Radical's Role in Isomorphism Theorems for p-Adic Modules Extends to Topological Isomorphism

M Flagg - Groups, Modules, and Model Theory-Surveys and …, 2017 - Springer
For a complete discrete valuation domain R, a class of R-modules is said to satisfy an
isomorphism theorem if an isomorphism between the endomorphism algebras of two …

[PDF][PDF] Around the Baer–Kaplansky theorem

PA Krylov, AA Tuganbaev… - Journal of Mathematical …, 2021 - researchgate.net
AROUND THE BAER–KAPLANSKY THEOREM PA Krylov, AA Tuganbaev, and AV Tsarev
UDC 512.541 Page 1 Journal of Mathematical Sciences, Vol. 256, No. 3, July, 2021 AROUND …

Modules over discrete valuation domains. II

PA Krylov, AA Tuganbaev - Journal of Mathematical Sciences, 2008 - Springer
Modules over discrete valuation domains. II | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Journal of …

Modules over discrete valuation domains. III

PA Krylov, AA Tuganbaev - Journal of Mathematical Sciences, 2021 - Springer
This review paper is a continuation of two previous review papers devoted to properties of
modules over discrete valuation domains. The first part of this work was published in the …

Вокруг Теоремы Бэра-Капланского

ПА Крылов, АА Туганбаев, АВ Царев - Итоги науки и техники …, 2019 - elibrary.ru
Вокруг Теоремы Бэра-Капланского КОРЗИНА ПОИСК НАВИГАТОР СЕССИЯ КОНТАКТЫ
ИНФОРМАЦИЯ О ПУБЛИКАЦИИ eLIBRARY ID: 42649676 EDN: XSEWLJ ВОКРУГ ТЕОРЕМЫ …

К теореме Бэра-Капланского для квадратично-разложимых групп без кручения

СВ Вершина - Чебышевский сборник, 2014 - cyberleninka.ru
Взаимосвязь структуры абелевой группы со структурой кольца ее эндоморфизмов
является классической проблемой в теории абелевых групп. В частности, Бэром и …

Modules and their endomorphism rings

H Susanto, S Irawati, IN Hidayah - Journal of Physics …, 2019 - iopscience.iop.org
Let R and S be a pair of equivalent rings. We will prove that if R has property that a pair of
modules over R are isomorphic if and only if their endomorphism rings are isomorphic than …