Prüfer rings with involution

Ismail M. Idris

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 4, page 881-890
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Idris, Ismail M.. "Prüfer rings with involution." Czechoslovak Mathematical Journal 53.4 (2003): 881-890. <http://eudml.org/doc/30821>.

@article{Idris2003,
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.},
author = {Idris, Ismail M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Prüfer domains; localization; noncommutative Prüfer rings; involution; Prüfer domains; localizations; noncommutative Prüfer rings; rings with involution},
language = {eng},
number = {4},
pages = {881-890},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Prüfer rings with involution},
url = {http://eudml.org/doc/30821},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Idris, Ismail M.
TI - Prüfer rings with involution
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 4
SP - 881
EP - 890
AB - 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.
LA - eng
KW - Prüfer domains; localization; noncommutative Prüfer rings; involution; Prüfer domains; localizations; noncommutative Prüfer rings; rings with involution
UR - http://eudml.org/doc/30821
ER -

References

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  1. On the structure of involution rings with chain conditions, Vietnam J.  Math. 21 (1993), 1–12. (1993) MR1367460
  2. 10.1070/SM1993v074n01ABEH003330, Math. USSR Sbornik 74 (1993), 1–8. (1993) MR1133567DOI10.1070/SM1993v074n01ABEH003330
  3. 10.1080/00927879408824854, Comm. Algebra 22 (1994), 371–380. (1994) Zbl0810.16034MR1255872DOI10.1080/00927879408824854
  4. Rings with involution and orderings, J.  Egyptian Math. Soc. 7 (1999), 167–176. (1999) Zbl0947.16022MR1722062
  5. Multiplicative Theory of Ideals, Academic Press, New York-London, 1971. (1971) MR0414528
  6. Prüfer rings in *-division rings, Arabian J.  Sci. Engrg. 25 (2000), 165–171. (2000) MR1829227
  7. The structure of Noetherian rings, Lecture Notes in Math., Vol.  246, Springer-Verlag, 1972, pp. 214–321. (1972) Zbl0237.16004MR0393118

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