Abstract
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.
Similar content being viewed by others
References
R. Wiegandt: On the structure of involution rings with chain conditions. Vietnam J. Math. 21 (1993), 1–12.
N. I. Dubrovin: Noncommutative Prüfer rings. Math. USSR Sbornik 74 (1993), 1–8.
M. Domokos: Goldie's theorems for involution rings. Comm. Algebra 22 (1994), 371–380.
I. M. Idris: Rings with involution and orderings. J. Egyptian Math. Soc. 7 (1999), 167–176.
M. D. Larsen and P. Mc. Carthy: Multiplicative Theory of Ideals. Academic Press, New York-London, 1971.
I. M. Idris: Prüfer rings in *-division rings. Arabian J. Sci. Engrg. 25 (2000), 165–171.
A.W. Goldie: The structure of Noetherian rings. Lecture Notes in Math., Vol. 246. Springer-Verlag, 1972, pp. 214–321.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Idris, I.M. Prüfer Rings with Involution. Czech Math J 53, 881–890 (2003). https://doi.org/10.1023/B:CMAJ.0000024527.96833.a1
Issue Date:
DOI: https://doi.org/10.1023/B:CMAJ.0000024527.96833.a1