Topologically semisimple and topologically perfect topological rings

L Positselski, J Šťovíček - Publicacions Matemàtiques, 2022 - projecteuclid.org
Abstract Extending the Wedderburn–Artin theory of (classically) semisimple associative
rings to the realm of topological rings with right linear topology, we show that the abelian …

Flat ring epimorphisms of countable type

L Positselski - Glasgow Mathematical Journal, 2020 - cambridge.org
FLAT RING EPIMORPHISMS OF COUNTABLE TYPE Page 1 Glasgow Math. J. 62 (2020)
383–439. C Glasgow Mathematical Journal Trust 2019. doi:10.1017/S001708951900017X. FLAT …

[HTML][HTML] On a partially ordered set associated to ring morphisms

A Facchini, LH Zadeh - Journal of Algebra, 2019 - Elsevier
We associate to any ring R with identity a partially ordered set Hom (R), whose elements are
all pairs (a, M), where a= ker⁡ φ and M= φ− 1 (U (S)) for some ring morphism φ of R into an …

Strongly flat modules and right noetherian chain domains

A Facchini, Z Nazemian - Categorical, Homological and …, 2020 - books.google.com
We consider extensions of rings R↩→ Q that are homological epimorphism. Here the base
ring R can be non-commutative. In particular, we study:(1) strongly flat R-modules defined …