On endomorphisms of multiplication and comultiplication modules
Archivum mathematicum, Tome 44 (2008) no. 1, pp. 9-15 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
Classification : 13C99
Keywords: endomorphisms; multiplication modules; comultiplication modules
@article{ARM_2008_44_1_a1,
     author = {Ansari-Toroghy, H. and Farshadifar, F.},
     title = {On endomorphisms of multiplication and~comultiplication modules},
     journal = {Archivum mathematicum},
     pages = {9--15},
     year = {2008},
     volume = {44},
     number = {1},
     mrnumber = {2431226},
     zbl = {1212.13006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2008_44_1_a1/}
}
TY  - JOUR
AU  - Ansari-Toroghy, H.
AU  - Farshadifar, F.
TI  - On endomorphisms of multiplication and comultiplication modules
JO  - Archivum mathematicum
PY  - 2008
SP  - 9
EP  - 15
VL  - 44
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ARM_2008_44_1_a1/
LA  - en
ID  - ARM_2008_44_1_a1
ER  - 
%0 Journal Article
%A Ansari-Toroghy, H.
%A Farshadifar, F.
%T On endomorphisms of multiplication and comultiplication modules
%J Archivum mathematicum
%D 2008
%P 9-15
%V 44
%N 1
%U http://geodesic.mathdoc.fr/item/ARM_2008_44_1_a1/
%G en
%F ARM_2008_44_1_a1
Ansari-Toroghy, H.; Farshadifar, F. On endomorphisms of multiplication and comultiplication modules. Archivum mathematicum, Tome 44 (2008) no. 1, pp. 9-15. http://geodesic.mathdoc.fr/item/ARM_2008_44_1_a1/

[1] Anderson, W., Fuller, K. R.: Rings and categories of modules. Springer-Verlag, New York-Heidelberg-Berlin, 1974. | MR | Zbl

[2] Ansari-Toroghy, H., Farshadifar, F.: The dual notion of multiplication modules. Taiwanese J. Math. (to appear). | MR | Zbl

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

[4] Choi, C. W.: Multiplication modules and endomorphisms. Math. J. Toyama Univ. 18 (1995), 1–8. | MR | Zbl

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

[6] Faith, C.: Algebra II: Ring theory. Springer-Verlag, New York-Heidelberg-Berlin, 1976. | MR

[7] Ghorbani, A., Haghang, A.: Generalized Hopfian modules. J. Algebra 255 (2002), 324–341. | DOI | MR

[8] Haghang, A., Vedali, M. R.: Modules whose injective endomorphism are essential. J. Algebra 243 (2001), 765–779. | DOI | MR

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