Noetherian rings with small profiles Page 1 Noetherian rings with small profiles (joint with SR
López-Permouth) Bülent Saraç Hacettepe University NCRA, VII, 5-7th July 2021 Bülent Saraç …

We further the study of rings with no middle class by focusing on an interpretation of that
property in terms of the lattice of hereditary pretorsion classes over a given ring. For non …

Let R be a reduced Noetherian ring with minimal prime ideals P 1,…, P m. The rank of the
torsion-free R-module M is the m-tuple ρ (M)=(r 1,…, rm), where ri is the dimension of M Pi …

We initiate the study of 1-torsion of finite modules over two-sided noetherian semiperfect
rings. In particular, we give a criterion for determining when the 1-torsion submodule …

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 …

1. Introduction. The problem of representing a ring by the global sections of a sheaf can be
formulated as follows. Given a ring R, find a topological space X and a sheaf R of rings over …

A module M is said to be weakly injective if every finitely generated submodule of its
injective hull E (M) is contained in a submodule X of E (M) isomorphic to M. We prove that a …

In this paper we discuss the rings R for which all preradical classes of left R-modules are
perfect hereditary torsion classes. Such right Noetherian rings are characterized in the main …

We characterize left Noetherian rings in terms of the duality property of injective
preenvelopes and flat precovers. For a left and right Noetherian ring R, we prove that the flat …

One of the results in my previous paper {\it On torsionfree classes which are not precover
classes\/}, preprint, Corollary 3, states that for every hereditary torsion theory $\tau $ for the …