ℵ-products of modules and splitness.
Lianggui, Feng
Publicacions Matemàtiques, Tome 46 (2002), p. 453-463 / Harvested from Biblioteca Digital de Matemáticas
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Let

0 → ∏ℵ I 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.

Publié le : 2002-01-01
DMLE-ID : 4108 
@article{urn:eudml:doc:41605,
     title = {-products of modules and splitness.},
     journal = {Publicacions Matem\`atiques},
     volume = {46},
     year = {2002},
     pages = {453-463},
     mrnumber = {MR1934364},
     zbl = {1020.16002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41605}
}

Lianggui, Feng. ℵ-products of modules and splitness.. Publicacions Matemàtiques, Tome 46 (2002) pp. 453-463. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41605/