On generalization of injectivity
Yue Chi Ming, Roger
Archivum Mathematicum, Tome 028 (1992), p. 215-220 / Harvested from Czech Digital Mathematics Library

Characterizations of quasi-continuous modules and continuous modules are given. A non-trivial generalization of injectivity (distinct from $p$-injectivity) is considered.

Publié le : 1992-01-01
Classification:  16D50,  16D70,  16L60,  16W20
@article{107453,
     author = {Roger Yue Chi Ming},
     title = {On generalization of injectivity},
     journal = {Archivum Mathematicum},
     volume = {028},
     year = {1992},
     pages = {215-220},
     zbl = {0786.16003},
     mrnumber = {1222289},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107453}
}
Yue Chi Ming, Roger. On generalization of injectivity. Archivum Mathematicum, Tome 028 (1992) pp. 215-220. http://gdmltest.u-ga.fr/item/107453/

Continuous rings with ACC on annihilators, .

Algebra II:Ring Theory, Grundlehren 191 (1976), Springer Verlag. (1976) | MR 0427349

Regular rings , $V$-rings and their generalizations, Hiroshima Math J. 9 (1979), 137-149. (1979) | MR 0529329

Continuous rings with ACC on essential are Artinian, Proc. Amer. Math. Soc.

On rings whose simple modules are injective, J. Algebra 25 (1973), 185-201. (1973) | MR 0316505

Continuous and discrete modules, London Math. Soc. Lecture note Series 147 (Cambridge University Press) (1990). (1990) | MR 1084376

Chain conditions and quotient rings of pp. rings, Math. J. Okayama Univ. 30 (1988), 71-78. (1988) | MR 0976734

A note on quasi–Frobenius rings and ring epimorphisms, Canad. Math. Bull. 12 (1969), 287-292. (1969) | MR 0251075 | Zbl 0182.36704

$V$-rings relative to hereditary torsion theories, Tsukuba J. Math. 6 (1982), 293-298. (1982) | MR 0705120 | Zbl 0529.16009

On continuous rings and self-injective rings, Trans. Amer. Math. Soc. 118 (1965), 158-173. (1965) | MR 0174592 | Zbl 0144.27301

Generalised $V$-rings and torsion theories, Comm. Algebra 14 (1986), 455-467. (1986) | MR 0823346

$P$-injectivity of simple pretorsion modules, Glasgow Math. J. 28 (1986), 223-225. (1986) | MR 0848429

On p.p.rings, Kobe Math. 7 (1990), 77-80. (1990) | MR 1077571

$SI$-modules, Math. J. Okayama Univ. 28 (1986), 133-146. (1986) | MR 0885022 | Zbl 0621.16027

On $V$-rings and prime rings, J. Algebra 62 (1980), 13-20. (1980) | MR 0561114 | Zbl 0429.16018

On von Neumann regular rings, XIII. Ann. Univ. Ferrara Sez. VII, Sc. Mat. 31 (1985), 49-61. (1985) | MR 0841852 | Zbl 0602.16012

On injectivity and $p$-injectivity, J. Math. Kyoto Univ. 27 (1987), 439-452. (1987) | MR 0910229 | Zbl 0655.16012

On von Neumann regular rings, XV. Acta Math. Vietnamica 13 (1988), 71-79. (1988) | MR 1023706 | Zbl 0685.16009

A note on regular rings, Bull. Soc. Math. Belgique Ser. B 41 (1989), 129-138. (1989) | MR 1044007 | Zbl 0672.16011