On endomorphisms of multiplication and comultiplication modules

H. Ansari-Toroghy; F. Farshadifar

Archivum Mathematicum (2008)

  • Volume: 044, Issue: 1, page 9-15
  • ISSN: 0044-8753

Abstract

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Let R be a ring with an identity (not necessarily commutative) and let M be a left R -module. This paper deals with multiplication and comultiplication left R -modules M having right End R ( M ) -module structures.

How to cite

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Ansari-Toroghy, H., and Farshadifar, F.. "On endomorphisms of multiplication and comultiplication modules." Archivum Mathematicum 044.1 (2008): 9-15. <http://eudml.org/doc/250288>.

@article{Ansari2008,
abstract = {Let $R$ be a ring with an identity (not necessarily commutative) and let $M$ be a left $R$-module. This paper deals with multiplication and comultiplication left $R$-modules $M$ having right $\operatorname\{End\}_R(M)$-module structures.},
author = {Ansari-Toroghy, H., Farshadifar, F.},
journal = {Archivum Mathematicum},
keywords = {endomorphisms; multiplication modules; comultiplication modules; endomorphisms; multiplication module; comultiplication module},
language = {eng},
number = {1},
pages = {9-15},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On endomorphisms of multiplication and comultiplication modules},
url = {http://eudml.org/doc/250288},
volume = {044},
year = {2008},
}

TY - JOUR
AU - Ansari-Toroghy, H.
AU - Farshadifar, F.
TI - On endomorphisms of multiplication and comultiplication modules
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 1
SP - 9
EP - 15
AB - Let $R$ be a ring with an identity (not necessarily commutative) and let $M$ be a left $R$-module. This paper deals with multiplication and comultiplication left $R$-modules $M$ having right $\operatorname{End}_R(M)$-module structures.
LA - eng
KW - endomorphisms; multiplication modules; comultiplication modules; endomorphisms; multiplication module; comultiplication module
UR - http://eudml.org/doc/250288
ER -

References

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  1. Anderson, W., Fuller, K. R., Rings and categories of modules, Springer-Verlag, New York-Heidelberg-Berlin, 1974. (1974) Zbl0301.16001MR0417223
  2. Ansari-Toroghy, H., Farshadifar, F., The dual notion of multiplication modules, Taiwanese J. Math. (to appear). (to appear) Zbl1137.16302MR2348561
  3. Bae, Soon-Sook, On submodule inducing prime ideals of endomorphism ring, East Asian Math. 16 (1) (2000), 33–48. (2000) 
  4. Choi, C. W., Multiplication modules and endomorphisms, Math. J. Toyama Univ. 18 (1995), 1–8. (1995) Zbl0876.13001MR1369692
  5. Choi, C. W., Smith, P. F., On endomorphisms of multiplication modules, J. Korean Math. Soc. 31 (1) (1994), 89–95. (1994) Zbl0820.13003MR1269453
  6. Faith, C., Algebra II: Ring theory, Springer-Verlag, New York-Heidelberg-Berlin, 1976. (1976) MR0427349
  7. Ghorbani, A., Haghang, A., 10.1016/S0021-8693(02)00124-2, J. Algebra 255 (2002), 324–341. (2002) MR1935502DOI10.1016/S0021-8693(02)00124-2
  8. Haghang, A., Vedali, M. R., 10.1006/jabr.2001.8851, J. Algebra 243 (2001), 765–779. (2001) MR1850657DOI10.1006/jabr.2001.8851
  9. Lomp, Ch. E., 10.1142/S0219498805001022, J. Algebra Appl. 4 (1) (2005), 77–98. (2005) MR2130464DOI10.1142/S0219498805001022

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