A survey of results on radicals and torsions in modules

• Published in: Algebra and Discrete Mathematics
• Date: 2016
• ISSN: 1726-3255
• Main Author: Kashu, A.I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155207
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A survey of results on radicals and torsions in modules / A.I. Kashu // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 69-110. — Бібліогр.: 66 назв. — англ.

In this work basic results of the author on radicals in module categories are presented in a short form. Principal topics are: types of preradicals and their characterizations; classes of R-modules and sets of left ideals of R; notions and constructions associated to radicals; rings of quotients and...