Geodesic
Prüfer rings with involution
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 4, pp. 881-890
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
Classification : 13F05, 16H05, 16U20, 16U30, 16W10
Keywords: Prüfer domains; localization; noncommutative Prüfer rings; involution 
@article{CMJ_2003_53_4_a7,
     author = {Idris, Ismail M.},
     title = {Pr\"ufer rings with involution},
     journal = {Czechoslovak Mathematical Journal},
     pages = {881--890},
     year = {2003},
     volume = {53},
     number = {4},
     mrnumber = {2018836},
     zbl = {1080.16509},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2003_53_4_a7/}
}
TY  - JOUR
AU  - Idris, Ismail M.
TI  - Prüfer rings with involution
JO  - Czechoslovak Mathematical Journal
PY  - 2003
SP  - 881
EP  - 890
VL  - 53
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMJ_2003_53_4_a7/
LA  - en
ID  - CMJ_2003_53_4_a7
ER  - 
%0 Journal Article
%A Idris, Ismail M.
%T Prüfer rings with involution
%J Czechoslovak Mathematical Journal
%D 2003
%P 881-890
%V 53
%N 4
%U http://geodesic.mathdoc.fr/item/CMJ_2003_53_4_a7/
%G en
%F CMJ_2003_53_4_a7
Idris, Ismail M. Prüfer rings with involution. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 4, pp. 881-890. http://geodesic.mathdoc.fr/item/CMJ_2003_53_4_a7/

[1] R. Wiegandt: On the structure of involution rings with chain conditions. Vietnam J.  Math. 21 (1993), 1–12. | MR

[2] N. I.  Dubrovin: Noncommutative Prüfer rings. Math. USSR Sbornik 74 (1993), 1–8. | DOI | MR

[3] M.  Domokos: Goldie’s theorems for involution rings. Comm. Algebra 22 (1994), 371–380. | DOI | MR | Zbl

[4] I. M.  Idris: Rings with involution and orderings. J.  Egyptian Math. Soc. 7 (1999), 167–176. | MR | Zbl

[5] M. D.  Larsen and P. Mc.  Carthy: Multiplicative Theory of Ideals. Academic Press, New York-London, 1971. | MR

[6] I. M.  Idris: Prüfer rings in *-division rings. Arabian J.  Sci. Engrg. 25 (2000), 165–171. | MR

[7] A. W.  Goldie: The structure of Noetherian rings. Lecture Notes in Math., Vol.  246, Springer-Verlag, 1972, pp. 214–321. | MR | Zbl