Título inglés | Some characterizations of regular modules. |
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Título español | Caracterizaciones de módulos regulares. |
Autor/es | Azumaya, Goro |
Organización | Dep. Math. Univ. Indiana, Bloomington (Indiana), Estados Unidos |
Revista | 0214-1493 |
Publicación | 1990, 34 (2): 241-248, 6 Ref. |
Tipo de documento | articulo |
Idioma | Inglés |
Resumen inglés | Let M be a left module over a ring R. M is called a Zelmanowitz-regular module if for each x Î M there exists a homomorphism F: M → R such that f(x) = x. Let Q be a left R-module and h: Q → M a homomorphism. We call h locally split if for every x Î M there exists a homomorphism g: M → Q such that h(g(x)) = x. M is called locally projective if every epimorphism onto M is locally split. We prove that the following conditions are equivalent: (1) M is Zelmanowitz-regular. (2) every homomorphism into M is locally split. (3) M is locally projective and every cyclic submodule of M is a direct summand of M. |
Clasificación UNESCO | 120105 |
Palabras clave español | Teoría de anillos ; Anillos ; Módulos |
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