N-products of modules and splitness

• Autores: Feng Lianggui
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 46, Nº 2, 2002, págs. 453-463
• Idioma: inglés
• Títulos paralelos:
  • Productos-À de módulos y bifurcabilidad
• Enlaces
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• Resumen

  • Let 0 ? ?ÀI Ma ¾?? ?I Ma ¾?? Coker ? ? 0 be an exact sequence of modules, in which À is an infinite cardinal, ? the natural injection and ? the natural surjection. In this paper, the conditions are given mainly in the four theorems so that ? (? 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.