| Title:
|
Prüfer rings with involution (English) |
| Author:
|
Idris, Ismail M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
881-890 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The concept of a Prüfer ring is studied in the case of rings with involution such that it coincides with the corresponding notion in the case of commutative rings. (English) |
| Keyword:
|
Prüfer domains |
| Keyword:
|
localization |
| Keyword:
|
noncommutative Prüfer rings |
| Keyword:
|
involution |
| MSC:
|
13F05 |
| MSC:
|
16H05 |
| MSC:
|
16U20 |
| MSC:
|
16U30 |
| MSC:
|
16W10 |
| idZBL:
|
Zbl 1080.16509 |
| idMR:
|
MR2018836 |
| . |
| Date available:
|
2009-09-24T11:07:22Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127846 |
| . |
| Reference:
|
[1] R. Wiegandt: On the structure of involution rings with chain conditions.Vietnam J. Math. 21 (1993), 1–12. MR 1367460 |
| Reference:
|
[2] N. I. Dubrovin: Noncommutative Prüfer rings.Math. USSR Sbornik 74 (1993), 1–8. MR 1133567, 10.1070/SM1993v074n01ABEH003330 |
| Reference:
|
[3] M. Domokos: Goldie’s theorems for involution rings.Comm. Algebra 22 (1994), 371–380. Zbl 0810.16034, MR 1255872, 10.1080/00927879408824854 |
| Reference:
|
[4] I. M. Idris: Rings with involution and orderings.J. Egyptian Math. Soc. 7 (1999), 167–176. Zbl 0947.16022, MR 1722062 |
| Reference:
|
[5] M. D. Larsen and P. Mc. Carthy: Multiplicative Theory of Ideals.Academic Press, New York-London, 1971. MR 0414528 |
| Reference:
|
[6] I. M. Idris: Prüfer rings in *-division rings.Arabian J. Sci. Engrg. 25 (2000), 165–171. MR 1829227 |
| Reference:
|
[7] A. W. Goldie: The structure of Noetherian rings.Lecture Notes in Math., Vol. 246, Springer-Verlag, 1972, pp. 214–321. Zbl 0237.16004, MR 0393118 |
| . |
