Stable range one for rings with central units

• Tipo: Artigo em Revista Científica Internacional
• Data: 2020

Autores

Paula A.A.B. Carvalho (Autor) FCUP; Christian Lomp (Autor) FCUP; Matczuk, J (Autor) Outra

Revista

Título: Communications in Algebra

Vol. 48

Páginas: 4767-4773

ISSN: 0092-7872

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Classificação Científica

CORDIS: Ciências Físicas > Matemática > Álgebra

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-00S-90G

DOI: 10.1080/00927872.2020.1770275

Abstract (EN): The purpose of this paper is to give a partial positive answer to a question raised by Khurana et al. as to whether a ringRwith stable range one and central units is commutative. We show that this is the case under any of the following additional conditions:Ris semiprime orRis one-sided Noetherian orRhas unit-stable range 1 orRhas classical Krull dimension 0 orRis an algebra over a fieldKsuch thatKis uncountable andRhas only countably many primitive ideals orRis affine and eitherKhas characteristic 0 or has infinite transcendental degree over its prime subfield or is algebraically closed. However, the general question remains open.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 7