The classes of FP-injective and weakly quasi-Frobenius rings are investigated. The
properties of both classes of rings are closely related to the embedding of finitely presented …

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Commentationes Mathematicae Universitatis Carolinae Page 1 Commentationes
Mathematicae Universitatis Carolinae Jiří Adámek; Václav Koubek Cartesian closed functor-structured …

In this paper, we define a class of relative derived functors in terms of left or right weak flat
resolutions to compute the weak flat dimension of modules. Moreover, we investigate two …

In this paper, coflat modules are defined and it is shown that these modules are naturally
dual to flat modules. A ring R is an FC ring in case it is coherent and both of its regular …

In this article, the notions of a Frobenius pair of functors and Frobenius corings are
generalized to an l-QF pair of functors and l-QF corings. We prove that an extension ι: B→ A …

In this paper we observe the categories of paragraded groups and R-modules with respect
to the same set of grades∆, where R is the paragraded ring with the set of grades∆. We turn …

In the case where $\mathbf {k}=\mathbb {F} _2 $, for $ S $ a contravariant functor from the
category of finite dimensional $\mathbf {k} $-vector spaces to the category of sets, and for …

The aim of this paper is to study a property of a special kind of exact functors and give some
applications to projective modules and injective modules. In section 1 we introduce the …

Given a ring R, denote by mod-R the category of nitely presented right R-modules, the two
functor categories (mod-R, Ab) and ((mod-R) op, Ab) with values in the category Ab of …