[Nu]-products of modules and splitness

Abstract

Let [fórmula] be an exact sequence of modules, in which [Nu] is an infinite cardinal, [lambda] the natural injection and [gamma] the natural surjection. In this paper, the conditions are given mainly in the four theorems so that [lambda] ([gamma] respectively) is split or locally split. Consequently, some known results are generalized. In particular, Theorem 1 of [7] and Theorem 1.6 of [5] are improved.