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періодичних видань НАН України
Factorization of elements in noncommutative rings, I
Репозиторій DSpace/Manakin
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Factorization of elements in noncommutative rings, I
Інший ID:
2010 MSC:16U30, 16B99.
Посилання:
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.
Підтримка:
The first author is partially supported by Università di Padova (Progetto ex 60%“Anelli e categorie di moduli”) and Fondazione Cassa di Risparmio di Padova e Rovigo (Progetto di Eccellenza “Algebraic structures and their applications”.)
Дата:
2016
Переглядів:
726
Завантажень:
212
Анотація:
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 study the connections among such factorizations, right similar elements, cyclically presented modules of Euler characteristic 0 and their series of submodules. Finally, we consider factorizations as a product of idempotents.
