B. Zabavsky, O. Romaniv, B. Kuznitska, T. Hlova, “Comaximal factorization in a commutative Bezout ring”, Algebra Discrete Math., 2020, том 30, выпуск 1,страницы 150

RESEARCH ARTICLE

Comaximal factorization in a commutative Bezout ring

B. Zabavsky^a, O. Romaniv^a, B. Kuznitska^b, T. Hlova^c

^a Department of Mechanics and Mathematics, Ivan Franko National Univ., Lviv, Ukraine
^b Department of Building and Architecture, Lviv National Agrarian Univ., Dubliany, Ukraine
^c Department of Engineering Mechanics, Hetman Petro Sahaidachnyi National Army Academy, Lviv, Ukraine

Аннотация: We study an analogue of unique factorization rings in the case of an elementary divisor domain.

Ключевые слова: Bezout ring, clean ring, neat ring, elementary divisor ring, stable range one, stable range two, neat range one, pseudo-irreducible element.

MSC: 13F15, 19B10

Поступила в редакцию: 20.06.2018
Исправленный вариант: 12.06.2020

Язык публикации: английский

DOI: 10.12958/adm1203