Let T be a right exact functor from an abelian category ℬ into another abelian category A.
Then there exists a functor p from the product category A× ℬ to the comma category ((T↓ …

Compact objects in stable module categories Page 1 Arch. Math. 89 (2007), 47–51 c© 2007
Birkhäuser Verlag Basel/Switzerland 0003/889X/010047-5, published online 2007-06-15 DOI …

The notion of an almost-precover as a generalization of a-precover is introduced. Among
other results it is shown that if is any hereditary torsion theory for the category R-mod, then …

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Let R be a commutative noetherian ring. Denote by mod\, R mod R the category of finitely
generated R-modules. In this paper, we study n-torsionfree modules in the sense of …

Given a complete, cocomplete category 𝒞, we investigate the problem of describing those
small categories I such that the diagonal functor Δ: 𝒞→ Functors (I, 𝒞) is a Frobenius functor …

Restricted homological properties of modules Page 1 RESTRICTED HOMOLOGICAL
PROPERTIES OF MODULES DAVID A. HILL (Received 20 May 1971; revised 13 March 1972) …

Let A and B be two rings, M be a left B, right A bimodule and be the formal triangular matrix
ring. It is known that the category of right T-modules is equivalent to the category Ω of triples …

ABSTRACT A module M is called strongly FP-injective if Ext i (P, M)= 0 for any finitely
presented module P and all i≥ 1.(Pre) envelopes and (pre) covers by strongly FP-injective …

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 …