DIRECT PROJECTIVE MODULES, DIRECT INJECTIVE MODULES, AND THEIR
GENERALIZATIONS AN Abyzov, AA Tuganbaev, DT Tapkin, and Page 1 Journal of …

Электронный архив КФУ :: Direct Projective Modules, Direct Injective Modules, and their
Generalizations Электронный архив Direct Projective Modules, Direct Injective Modules …

Projective and Injective modules arise quite abundantly in nature. For example, all free
modules that we know of, are projective modules. Similarly, the group of all rational numbers …

In this paper, we introduce the notion of finite direct projective modules, which is a
generalization of direct projective modules; counter-example is given. We study the …

In this paper we introduce Pure direct projective module which is a generalization of Direct
projective module and dual notion of pure direct injective modules [13]. A module M is pure …

Direct Summands of Pseudo Projective Modules Page 1 Advances in Algebra. ISSN 0973-6964
Volume 4, Number 2 (2011), pp. 113-120 © Research India Publications http://www.ripublication.com/aa.htm …

Quasi-principally injective modules were studied in [12]. In this note we introduce the
concept dual to quasi-principally injective modules. It is proved that. these modules are …

The concept of a pseudoinjective module is well known (see eg [7],[9]). As almost everything
in modules, the concept possesses its dual, pseudoprojective module. In this paper we …

The concept of direct injectivity was introc1ucec1 by WK Nicholson ([3]). We know that
injective modules are direct injective and its converse is not true in general. For instance, the …

Recently,]~. DE ROBERT has considered the dual concepts of relative projectivity and
relative injectivity that extend the notions of quasi-projective and quasi-injective modules …