Almost perfect commutative rings R are introduced (as an analogue of Bazzoni and Salce's
almost perfect domains) for rings with divisors of zero: they are defined as orders in …

Characterizations of almost perfect domains by certain covers and envelopes, due to
Bazzoni-Salce [7] and Bazzoni [4], are generalized to almost perfect commutative rings (with …

Full article: A note on Matlis localizations Skip to Main Content Taylor and Francis Online
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The aim of this note is to find those commutative rings over which an exact analogue of the
structure theory of injective modules over commutative noetherian rings holds for weak …

Several authors have been interested in cotorsion theories. Among these theories we figure
the pairs $(\mathcal P_n,\mathcal P_n^{\perp}) $, where $\mathcal P_n $ designates the set …

Weak-injective modules were defined as modules M for which E xt R 1 (N, M)= 0 holds for all
modules N of weak dimension≤ 1. They were studied over integral domains in several …

In cotorsion theories, the cotorsion pairs SF, MC of strongly flat and Matlis-cotorsion
modules, and (F, EC) of flat and Enochs-cotorsion modules play important roles. We …

This paper investigates the projective dimension of the maximal right ring of quotients Q<
sup> r.(R) of a right non-singular ring R. Our discussion addresses the question under which …