Orderings and preorderings in rings with involution
Colloquium Mathematicae (2000)
- Volume: 83, Issue: 1, page 15-20
- ISSN: 0010-1354
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topIdris, Ismail. "Orderings and preorderings in rings with involution." Colloquium Mathematicae 83.1 (2000): 15-20. <http://eudml.org/doc/210769>.
@article{Idris2000,
abstract = {The notions of a preordering and an ordering of a ring R with involution are investigated. An algebraic condition for the existence of an ordering of R is given. Also, a condition for enlarging an ordering of R to an overring is given. As for the case of a field, any preordering of R can be extended to some ordering. Finally, we investigate the class of archimedean ordered rings with involution.},
author = {Idris, Ismail},
journal = {Colloquium Mathematicae},
keywords = {Archimedean rings; orderings; rings with involutions; extendibility; symmetric elements; commutative subrings},
language = {eng},
number = {1},
pages = {15-20},
title = {Orderings and preorderings in rings with involution},
url = {http://eudml.org/doc/210769},
volume = {83},
year = {2000},
}
TY - JOUR
AU - Idris, Ismail
TI - Orderings and preorderings in rings with involution
JO - Colloquium Mathematicae
PY - 2000
VL - 83
IS - 1
SP - 15
EP - 20
AB - The notions of a preordering and an ordering of a ring R with involution are investigated. An algebraic condition for the existence of an ordering of R is given. Also, a condition for enlarging an ordering of R to an overring is given. As for the case of a field, any preordering of R can be extended to some ordering. Finally, we investigate the class of archimedean ordered rings with involution.
LA - eng
KW - Archimedean rings; orderings; rings with involutions; extendibility; symmetric elements; commutative subrings
UR - http://eudml.org/doc/210769
ER -
References
top- [1] M. Chacron, C-orderable division rings with involution, J. Algebra 75 (1982), 495-521. Zbl0482.16013
- [2] S. S. Holland, Strong ordering of *-fields, J. Algebra 101 (1986), 16-46. Zbl0624.06024
- [3] I. M. Idris, Jordan ordering of a division ring with involution, Arabian J. Sci. Engrg. 14 (1989), 527-535. Zbl0693.06016
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