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INTEGRALLY CLOSED RINGS AND THE ARMENDARIZ PROPERTY

Yıl 2007, Cilt: 1 Sayı: 1, 11 - 17, 01.06.2007

Mangesh B. Rege Ardeline Mary Buhphang

Öz

Armendariz rings are defined through polynomial rings over them.
Polynomial rings over Armendariz rings are known to be Armendariz; we show
that power series rings need not be so.

Anahtar Kelimeler

Armendariz ring Armendariz module integrally closed ring

Kaynakça

  • D.D. Anderson and V. Camillo, Armendariz rings and Gaussian rings, Comm. Algebra, 26(7) (1998), 2265-2272.
  • E.P. Armendariz, A note on extensions of Baer and pp-rings, J.Australian Math.Soc., 18 (1974), 470-473.
  • N. Bourbaki, Elements of Mathematics, Commutative Algebra, Addison- Wesley, 1972.
  • J.W. Brewer, Power Series over Commutative Rings, Marcel Dekker, New York, 1981.
  • A.M. Buhphang and M.B. Rege, Semi-commutative modules and Armendariz modules, Arab J.Math.Sc., 8 (2002), 53-65.
  • R. Gilmer, A note on the quotient field of the domain D[[X]], Proc. Amer.Math.Soc., 18 (1967), 1138-1140.
  • R. Gilmer, Multiplicative Ideal Theory, Marcel Dekker, New York, 1972. Guo Ying, Du Xian-kun, Xie Jing-ran,
  • Armendariz rings and skew Armendariz rings, Journal of Jilin University (2005),

Yıl 2007, Cilt: 1 Sayı: 1, 11 - 17, 01.06.2007

Mangesh B. Rege Ardeline Mary Buhphang

Öz

Kaynakça

  • D.D. Anderson and V. Camillo, Armendariz rings and Gaussian rings, Comm. Algebra, 26(7) (1998), 2265-2272.
  • E.P. Armendariz, A note on extensions of Baer and pp-rings, J.Australian Math.Soc., 18 (1974), 470-473.
  • N. Bourbaki, Elements of Mathematics, Commutative Algebra, Addison- Wesley, 1972.
  • J.W. Brewer, Power Series over Commutative Rings, Marcel Dekker, New York, 1981.
  • A.M. Buhphang and M.B. Rege, Semi-commutative modules and Armendariz modules, Arab J.Math.Sc., 8 (2002), 53-65.
  • R. Gilmer, A note on the quotient field of the domain D[[X]], Proc. Amer.Math.Soc., 18 (1967), 1138-1140.
  • R. Gilmer, Multiplicative Ideal Theory, Marcel Dekker, New York, 1972. Guo Ying, Du Xian-kun, Xie Jing-ran,
  • Armendariz rings and skew Armendariz rings, Journal of Jilin University (2005),
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA25GM89NN
Bölüm Makaleler
Yazarlar

Mangesh B. Rege Bu kişi benim

Ardeline Mary Buhphang Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2007
Yayımlandığı Sayı Yıl 2007 Cilt: 1 Sayı: 1

Kaynak Göster

APA Rege, M. B., & Buhphang, A. M. (2007). INTEGRALLY CLOSED RINGS AND THE ARMENDARIZ PROPERTY. International Electronic Journal of Algebra, 1(1), 11-17.
AMA Rege MB, Buhphang AM. INTEGRALLY CLOSED RINGS AND THE ARMENDARIZ PROPERTY. IEJA. Haziran 2007;1(1):11-17.
Chicago Rege, Mangesh B., ve Ardeline Mary Buhphang. “INTEGRALLY CLOSED RINGS AND THE ARMENDARIZ PROPERTY”. International Electronic Journal of Algebra 1, sy. 1 (Haziran 2007): 11-17.
EndNote Rege MB, Buhphang AM (01 Haziran 2007) INTEGRALLY CLOSED RINGS AND THE ARMENDARIZ PROPERTY. International Electronic Journal of Algebra 1 1 11–17.
IEEE M. B. Rege ve A. M. Buhphang, “INTEGRALLY CLOSED RINGS AND THE ARMENDARIZ PROPERTY”, IEJA, c. 1, sy. 1, ss. 11–17, 2007.
ISNAD Rege, Mangesh B. - Buhphang, Ardeline Mary. “INTEGRALLY CLOSED RINGS AND THE ARMENDARIZ PROPERTY”. International Electronic Journal of Algebra 1/1 (Haziran 2007), 11-17.
JAMA Rege MB, Buhphang AM. INTEGRALLY CLOSED RINGS AND THE ARMENDARIZ PROPERTY. IEJA. 2007;1:11–17.
MLA Rege, Mangesh B. ve Ardeline Mary Buhphang. “INTEGRALLY CLOSED RINGS AND THE ARMENDARIZ PROPERTY”. International Electronic Journal of Algebra, c. 1, sy. 1, 2007, ss. 11-17.
Vancouver Rege MB, Buhphang AM. INTEGRALLY CLOSED RINGS AND THE ARMENDARIZ PROPERTY. IEJA. 2007;1(1):11-7.