Factorization of elements in noncommutative rings, I

• Published in: Algebra and Discrete Mathematics
• Date: 2016
• ISSN: 1726-3255
• Main Authors: Facchini, A., Fassina, M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155740
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Factorization of elements in noncommutative rings, I / A. Facchini, M. Fassina // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 209-232. — Бібліогр.: 21 назв. — англ.

We extend the classical theory of factorization in noncommutative integral domains to the more general classes of right saturated rings and right cyclically complete rings. Our attention is focused, in particular, on the factorizations of right regular elements into left irreducible elements. We stu...