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The primal element in integral domain
Other Title(s)
العنصر الأساسي في الساحة العددية
Author
Source
Issue
Vol. 34, Issue 3A (31 Dec. 2016), pp.170-181, 12 p.
Publisher
University of Basrah College of Science
Publication Date
2016-12-31
Country of Publication
Iraq
No. of Pages
12
Main Subjects
Abstract EN
An element x of an integral domain R is called primal if whenever x divides a product a1a2 with a1 , a2∈ R, x can be written as x = x1x2 such that xi divides ai ,i =1,2.We study whenin X2 primal in A + X B[X] or A + X B[[X]], when A ⊆ B be an extension of domains.
Also we show that if A is an integral domain and S ⊆ A a splitting multiplicative system, then A+XAS[X] is a semirigid GCD-domain if and only if A is a semirigid GCD-domain and for each two elements of S, one of them divides the other.
American Psychological Association (APA)
al-Salihi, Sinan Umar Ibrahim. 2016. The primal element in integral domain. Basrah Journal of Science،Vol. 34, no. 3A, pp.170-181.
https://search.emarefa.net/detail/BIM-779915
Modern Language Association (MLA)
al-Salihi, Sinan Umar Ibrahim. The primal element in integral domain. Basrah Journal of Science Vol. 34, no. 3A (2016), pp.170-181.
https://search.emarefa.net/detail/BIM-779915
American Medical Association (AMA)
al-Salihi, Sinan Umar Ibrahim. The primal element in integral domain. Basrah Journal of Science. 2016. Vol. 34, no. 3A, pp.170-181.
https://search.emarefa.net/detail/BIM-779915
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 180
Record ID
BIM-779915