ON DIFFERENTIAL IDEALS OF DIFFERENTIAL RINGS | ||
| Journal of University of Anbar for Pure Science | ||
| Article 23, Volume 6, Issue 1, April 2012, Pages 71-75 PDF (432.93 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2012.63155 | ||
| Author | ||
| Yaseen A.W. Alhiti* | ||
| Ishik University Erbil – Iraq. | ||
| Abstract | ||
| In this paper we introduce two operators denoted by and of a differential ring constructed from a subset of a differential ring. We shall also discuss the relationship between these operators and the differential ideals in differential rings, and Keigher differential ring. | ||
| Keywords | ||
| Differential ring; Keigher differential ring; Prime differential spectrum | ||
| References | ||
|
[1] Bourbaki N. (1961) “Elements de mathematiques , Algebre commutative chap. III, Graduation , Filtration et topologie” , Hermann, Paris.
[2] Cassidy P.J. (1972) Differential Algebraic Groups , American J. of mathematics, 94, pp. 891- 954.
[3] Delautre C. (1975) Seminaire d’algebre differentielle , Publication interne de l’U.E.R de Mathematiques Pure et Appliquees, Universite des Science et Techniques de Lille I, 55 .
[4] Dummit D. and Foote R. (1999) “Abstract Algebra” Edition, John Wiley and Sons , Inc. , New York.
[5] Gorman H. (1971) Radical regularity in differential rings, Canad. J. Math 23, pp. 197- 201.
[6] Kaplansky I.(1957) “An introduction to differential algebra”, Hermann, Paris.
[7] Keigher W.F. (1978) Quasi prime ideals in differential rings , Houston J. Math. 4 , pp. 379 - 388 .
[8] Khadjiev D. and Callialp F. (1998) ON THE DIFFERENTIAL PRIME RADICAL OF A DIFFERENTIAL RING , Tr. J. of Mathematics 22 , pp. 355 - 368 .
[9] Kolchin E.R. (1973) “Differential Algebra and Algebraic Groups” Academic Press , New York.
[10] Kovacic J. J. (2005) Differential Schemes, KSDA website :www.sci.cuny.edu/ksda . | ||
|
Statistics Article View: 227 PDF Download: 98 |
||