Modules M such that Ext R(M,−) Commutes with Direct Limits Page 1 Algebr Represent Theor
(2013) 16:1799–1808 DOI 10.1007/s10468-012-9382-y Modules M such that Ext 1 R(M,−) …

We survey some recent developments in understanding homological properties of finitely
generated modules over a complete intersection. These properties mainly concern with …

We define evaluation forms associated to objects in a module subcategory of Ext-symmetry
generated by finitely many simple modules over a path algebra with relations and prove a …

0. Introduction. In this paper we present a category theoretic generalization of the
construction of the tensor algebra or symmetric algebra of a module which proceeds by …

We introduce and study a new class of morphisms which includes morphisms represented
by monomorphisms in the sense of Auslander and Bridger. As an application, we give not …

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 …

Suppose R is a commutative Noeheian ring with maximal ideal P and E is the injective hull
of R/P. The hereditary torsion theory associated with P has E has as an injective cogenerator …

In finitely cocomplete homological categories, co-smash products give rise to (possibly
higher-order) commutators of subobjects. We use binary and ternary co-smash products and …

For a real semisimple Lie group G, the description of the unitary dual remains an elusive
question. One of the difficulties has been the lack of technique for constructing unitary …

We survey the set–theoretic methods of module theory that make it possible to equip roots of
the contravariant Ext functor with filtrations built from the small roots. The power of these …