On endomorphisms of multiplication and comultiplication modules
Ansari-Toroghy, H. ; Farshadifar, F.
Archivum Mathematicum, Tome 044 (2008), p. 9-15 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2008-01-01
Classification:  13C99 
@article{108091,
     author = {H. Ansari-Toroghy and F. Farshadifar},
     title = {On endomorphisms of multiplication and~comultiplication modules},
     journal = {Archivum Mathematicum},
     volume = {044},
     year = {2008},
     pages = {9-15},
     zbl = {1212.13006},
     mrnumber = {2431226},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108091}
}

Ansari-Toroghy, H.; Farshadifar, F. On endomorphisms of multiplication and comultiplication modules. Archivum Mathematicum, Tome 044 (2008) pp. 9-15. http://gdmltest.u-ga.fr/item/108091/

Anderson, W.; Fuller, K. R. Rings and categories of modules, Springer-Verlag, New York-Heidelberg-Berlin, 1974. (1974) | MR 0417223 | Zbl 0301.16001

Ansari-Toroghy, H.; Farshadifar, F. The dual notion of multiplication modules, Taiwanese J. Math. (to appear). (to appear) | MR 2348561 | Zbl 1137.16302

Bae, Soon-Sook On submodule inducing prime ideals of endomorphism ring, East Asian Math. 16 (1) (2000), 33–48. (2000)

Choi, C. W. Multiplication modules and endomorphisms, Math. J. Toyama Univ. 18 (1995), 1–8. (1995) | MR 1369692 | Zbl 0876.13001

Choi, C. W.; Smith, P. F. On endomorphisms of multiplication modules, J. Korean Math. Soc. 31 (1) (1994), 89–95. (1994) | MR 1269453 | Zbl 0820.13003

Faith, C. Algebra II: Ring theory, Springer-Verlag, New York-Heidelberg-Berlin, 1976. (1976) | MR 0427349

Ghorbani, A.; Haghang, A. Generalized Hopfian modules, J. Algebra 255 (2002), 324–341. (2002) | Article | MR 1935502

Haghang, A.; Vedali, M. R. Modules whose injective endomorphism are essential, J. Algebra 243 (2001), 765–779. (2001) | Article | MR 1850657

Lomp, Ch. E. Prime elements in partially ordered groupoid applied to modules and Hopf algebra actions, J. Algebra Appl. 4 (1) (2005), 77–98. (2005) | Article | MR 2130464