| Title:
|
On endomorphisms of multiplication and comultiplication modules (English) |
| Author:
|
Ansari-Toroghy, H. |
| Author:
|
Farshadifar, F. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
9-15 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
endomorphisms |
| Keyword:
|
multiplication modules |
| Keyword:
|
comultiplication modules |
| MSC:
|
13C99 |
| idZBL:
|
Zbl 1212.13006 |
| idMR:
|
MR2431226 |
| . |
| Date available:
|
2008-06-06T22:52:26Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108091 |
| . |
| Reference:
|
[1] Anderson, W., Fuller, K. R.: Rings and categories of modules.Springer-Verlag, New York-Heidelberg-Berlin, 1974. Zbl 0301.16001, MR 0417223 |
| Reference:
|
[2] Ansari-Toroghy, H., Farshadifar, F.: The dual notion of multiplication modules.Taiwanese J. Math. (to appear). Zbl 1137.16302, MR 2348561 |
| Reference:
|
[3] Bae, Soon-Sook: On submodule inducing prime ideals of endomorphism ring.East Asian Math. 16 (1) (2000), 33–48. |
| Reference:
|
[4] Choi, C. W.: Multiplication modules and endomorphisms.Math. J. Toyama Univ. 18 (1995), 1–8. Zbl 0876.13001, MR 1369692 |
| Reference:
|
[5] Choi, C. W., Smith, P. F.: On endomorphisms of multiplication modules.J. Korean Math. Soc. 31 (1) (1994), 89–95. Zbl 0820.13003, MR 1269453 |
| Reference:
|
[6] Faith, C.: Algebra II: Ring theory.Springer-Verlag, New York-Heidelberg-Berlin, 1976. MR 0427349 |
| Reference:
|
[7] Ghorbani, A., Haghang, A.: Generalized Hopfian modules.J. Algebra 255 (2002), 324–341. MR 1935502, 10.1016/S0021-8693(02)00124-2 |
| Reference:
|
[8] Haghang, A., Vedali, M. R.: Modules whose injective endomorphism are essential.J. Algebra 243 (2001), 765–779. MR 1850657, 10.1006/jabr.2001.8851 |
| Reference:
|
[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. MR 2130464, 10.1142/S0219498805001022 |
| . |
