On totally projective QTAG-modules characterized by its submodules

  • Ayazul Hasan Jazan University, Jazan
  • Mohd Rafiquddin Aligarh Muslim University

Résumé

A $QTAG$-module $M$ is called almost totally projective if it has a weak nice system. Here we show that the isotype submodules of a totally projective module which are almost totally projective are precisely those that are separable. From this characterization it follows that every balanced submodule of a totally projective module is almost totally projective. Finally, in some special cases we settle the question of whether a direct summand of an almost totally projective module is again almost totally projective.

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Bibliographies de l'auteur

Ayazul Hasan, Jazan University, Jazan

Dr. Ayazul Hasan

Professor
Department of Mathematics,
Jazan University, KSA

Mohd Rafiquddin, Aligarh Muslim University
Professor

Publiée
2018-10-01
Rubrique
Articles