A note on rings all of whose semi-simple cyclic modules are quasi-injective

Javed Ahsan

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1975)

  • Volume: 59, Issue: 6, page 682-684
  • ISSN: 0392-7881

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Ahsan, Javed. "A note on rings all of whose semi-simple cyclic modules are quasi-injective." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 59.6 (1975): 682-684. <http://eudml.org/doc/290956>.

@article{Ahsan1975,
author = {Ahsan, Javed},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {12},
number = {6},
pages = {682-684},
publisher = {Accademia Nazionale dei Lincei},
title = {A note on rings all of whose semi-simple cyclic modules are quasi-injective},
url = {http://eudml.org/doc/290956},
volume = {59},
year = {1975},
}

TY - JOUR
AU - Ahsan, Javed
TI - A note on rings all of whose semi-simple cyclic modules are quasi-injective
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/12//
PB - Accademia Nazionale dei Lincei
VL - 59
IS - 6
SP - 682
EP - 684
LA - eng
UR - http://eudml.org/doc/290956
ER -

References

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  1. AHSAN, J. (1973) - Rings all of whose cyclic modules are quasi-injective, «Proc. London Math. Soc.», 27 (3), 425-439. Zbl0267.16012MR338074DOI10.1112/plms/s3-27.3.425
  2. CATEFORIS, V. C. and SANDOMIERSKI, F. L. (1969) - On commutative rings over which the singular submodule is a direct summand for every module, «Pac. J. Math.», 31, 289-292. Zbl0188.09505MR249420
  3. FAITH, C. (1967) - Lectures on injective modules and quotient rings, Springer-Verlag, Berlin. Zbl0162.05002MR227206
  4. FAITH, C. and UTUMI, Y. (1964) - Quasi-injective modules and their endomorphism rings, «Arch. Math.», 13, 166-174. Zbl0131.27502MR166226DOI10.1007/BF01589182
  5. JOHNSON, R. E. and WONG, E. T. (1961) - Quasi-injective modules and irreducible rings, «J. London Math. Soc.», 36, 260-268. Zbl0103.02203MR131445DOI10.1112/jlms/s1-36.1.260
  6. KURSHAN, R. P. (1970) - Rings whose cyclic modules have finitely generated socle, «J. Algebra», 15, 370-386. Zbl0199.35503MR260780DOI10.1016/0021-8693(70)90066-9
  7. MICHLER, G. O. and VILLAMAYOR, O. E. (1973) - On rings whose simple modules are injective, «J. Algebra», 25, 185-201. Zbl0258.16023MR316505DOI10.1016/0021-8693(73)90088-4
  8. OSOFSKY, B. L. (1968) - Non-injective cyclic modules, «Proc. Amer. Math. Soc.» 19, 1383-1384. Zbl0169.35602MR231857DOI10.2307/2036217

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