ℵ-products of modules and splitness.

Lianggui, Feng. "ℵ-products of modules and splitness.." Publicacions Matemàtiques 46.2 (2002): 453-463. <http://eudml.org/doc/41605>.

@article{Lianggui2002,
abstract = {Let0 → ∏ℵI Mα ⎯λ→ ∏I Mα ⎯γ→ Coker λ → 0 be an exact sequence of modules, in which ℵ is an infinite cardinal, λ the natural injection and γ the natural surjection. In this paper, the conditions are given mainly in the four theorems so that λ (γ 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.},
author = {Lianggui, Feng},
journal = {Publicacions Matemàtiques},
keywords = {-products of modules; split exact sequences; -ACC on annihilators; locally splitting sequences; injective modules},
language = {eng},
number = {2},
pages = {453-463},
title = {ℵ-products of modules and splitness.},
url = {http://eudml.org/doc/41605},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Lianggui, Feng
TI - ℵ-products of modules and splitness.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - 2
SP - 453
EP - 463
AB - Let0 → ∏ℵI Mα ⎯λ→ ∏I Mα ⎯γ→ Coker λ → 0 be an exact sequence of modules, in which ℵ is an infinite cardinal, λ the natural injection and γ the natural surjection. In this paper, the conditions are given mainly in the four theorems so that λ (γ 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.
LA - eng
KW - -products of modules; split exact sequences; -ACC on annihilators; locally splitting sequences; injective modules
UR - http://eudml.org/doc/41605
ER -