Geodesic
Semiregular Modules and Rings
Canadian journal of mathematics, Tome 28 (1976) no. 5, pp. 1105-1120

Voir la notice de l'article provenant de la source Cambridge University Press

Mares [9] has called a projective module semiperfect if every homomorphic image has a projective cover and has shown that many of the properties of semiperfect rings can be extended to these modules. More recently Zelmanowitz [16] has called a module regular if every finitely generated submodule is a projective direct summand. In the present paper a class of semiregular modules is introduced which contains all regular and all semiperfect modules. Several characterizations of these modules are given and a structure theorem is proved. In addition several theorems about regular and semiperfect modules are extended. 
Nicholson, W. K. Semiregular Modules and Rings. Canadian journal of mathematics, Tome 28 (1976) no. 5, pp. 1105-1120. doi: 10.4153/CJM-1976-109-2
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