- All Journals
- Al-Qadisiyah University
- Basrah University
- Kirkuk University
- Mosul University
- The Iraqi Borad for Medical Specialization
- University of Anbar
- University of Technology
- Al Mustafa University
- Al-Zahraa University for Women
- Alnoor University
- Kunooz University
- Misan University
- Ninevah University
- Tikrit University
- University of Al-Hamdaniya
- University of Kerbala
Further Results on Action of Finite Groups on Commutative Rings | ||
| Journal of University of Anbar for Pure Science | ||
| Article 30, Volume 6, Issue 3, 2012, Pages 106-108 PDF (250.52 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2012.82140 | ||
| Author | ||
| Sind K.Ibrahim* | ||
| University of Anbar -College of Science. | ||
| Abstract | ||
| Let R be a commutative ring with identity 1 and G be a finite group of automorphisms of R of order n,Let RG be the fixed subring of R. In this paper we study the relations between the ideals of RG and R and we study RG In case R is e-ring(field). | ||
| Keywords | ||
| Action of Finite Groups; commutative rings | ||
| References | ||
|
[1] A.G.Naoum.(1987). The ohm type properties for finitely generated multiplication ideals. Periodica Mathematica Hungarica 18 , 287-293.
[2] S. Montgomery.(1980). Fixed rings of finite automorphism groups of associative rings .LNM:818,Springer – Verlag, Berlin Heidelberg New York.
[3] F. Dums.(2011). Non- commutative invariant. LauretAdrover Republican Argentina Press.
[4] J. Has.(2010). The zero-divisor group under a group action in a commutative ring. J. Korean Math., Soc., 47, No. 5, pp. 1097-1106.
[5] S. K. Ibrahim.(1996)."Action of finite groups on commutative rings". M.Sc. thesis, Univ. of Baghdad.
[6] A.G.Naoum.(1981). On finitely generated projective ideals in commutative rings. Periodica Mathematics Hangarica, l2, 287-292.
[7] R.Gilmer.(1972). Multiplicative ideal theory. M. Dekker, New York, MR55:323. | ||
|
Statistics Article View: 433 PDF Download: 266 |
||