On generalization of injectivity

@article{YueChiMing1992,
abstract = {Characterizations of quasi-continuous modules and continuous modules are given. A non-trivial generalization of injectivity (distinct from $p$-injectivity) is considered.},
author = {Yue Chi Ming, Roger},
journal = {Archivum Mathematicum},
keywords = {continuous modules; quasi-continuous modules; injective modules; quasi-Frobeniusean rings; m-injective rings; complement; direct summand; continuous modules; relative complement; homomorphism; endomorphism; quasi-Frobenius rings},
language = {eng},
number = {3-4},
pages = {215-220},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On generalization of injectivity},
url = {http://eudml.org/doc/247334},
volume = {028},
year = {1992},
}

TY - JOUR
AU - Yue Chi Ming, Roger
TI - On generalization of injectivity
JO - Archivum Mathematicum
PY - 1992
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 028
IS - 3-4
SP - 215
EP - 220
AB - Characterizations of quasi-continuous modules and continuous modules are given. A non-trivial generalization of injectivity (distinct from $p$-injectivity) is considered.
LA - eng
KW - continuous modules; quasi-continuous modules; injective modules; quasi-Frobeniusean rings; m-injective rings; complement; direct summand; continuous modules; relative complement; homomorphism; endomorphism; quasi-Frobenius rings
UR - http://eudml.org/doc/247334
ER -

References

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Continuous rings with ACC on annihilators, .
Algebra II:Ring Theory, Grundlehren 191 (1976), Springer Verlag. (1976) MR0427349
Regular rings , $V$ -rings and their generalizations, Hiroshima Math J. 9 (1979), 137-149. (1979) MR0529329
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) MR0316505
Continuous and discrete modules, London Math. Soc. Lecture note Series 147 (Cambridge University Press) (1990). (1990) MR1084376
Chain conditions and quotient rings of pp. rings, Math. J. Okayama Univ. 30 (1988), 71-78. (1988) MR0976734
A note on quasi–Frobenius rings and ring epimorphisms, Canad. Math. Bull. 12 (1969), 287-292. (1969) Zbl0182.36704 MR0251075
$V$ -rings relative to hereditary torsion theories, Tsukuba J. Math. 6 (1982), 293-298. (1982) Zbl0529.16009 MR0705120
On continuous rings and self-injective rings, Trans. Amer. Math. Soc. 118 (1965), 158-173. (1965) Zbl0144.27301 MR0174592
Generalised $V$ -rings and torsion theories, Comm. Algebra 14 (1986), 455-467. (1986) MR0823346
$P$ -injectivity of simple pretorsion modules, Glasgow Math. J. 28 (1986), 223-225. (1986) MR0848429
On p.p.rings, Kobe Math. 7 (1990), 77-80. (1990) MR1077571
$S I$ -modules, Math. J. Okayama Univ. 28 (1986), 133-146. (1986) Zbl0621.16027 MR0885022
On $V$ -rings and prime rings, J. Algebra 62 (1980), 13-20. (1980) Zbl0429.16018 MR0561114
On von Neumann regular rings, XIII. Ann. Univ. Ferrara Sez. VII, Sc. Mat. 31 (1985), 49-61. (1985) Zbl0602.16012 MR0841852
On injectivity and $p$ -injectivity, J. Math. Kyoto Univ. 27 (1987), 439-452. (1987) Zbl0655.16012 MR0910229
On von Neumann regular rings, XV. Acta Math. Vietnamica 13 (1988), 71-79. (1988) Zbl0685.16009 MR1023706
A note on regular rings, Bull. Soc. Math. Belgique Ser. B 41 (1989), 129-138. (1989) Zbl0672.16011 MR1044007

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