Developing Hilbert’s nullstellensatz into categorical adjunction
Other Title(s)
تطوير نظرية Hilbert للأصفارِ إلى ترافق فئوي
Joint Authors
Ismail, Farhan
al-Wadi, Yusuf
Sulayman, Ali
Source
Damascus University Journal for the Basic Sciences
Issue
Vol. 29, Issue 2 (31 Dec. 2013), pp.43-59, 17 p.
Publisher
Publication Date
2013-12-31
Country of Publication
Syria
No. of Pages
17
Main Subjects
Abstract EN
This paper includes an improvement of the categorical isomorphism between the category of radical ideals and the category of affine algebraic sets into an adjunction between two functors.
Afterwards, we extend the previous functors by means of expanding our work into the category of all ideals in a polynomial ring in n variables over a fixed algebraically closed field k, in which the radical ideals form a full subcategory of it, in order to produce more generalized adjunction from which we obtain the following results:
American Psychological Association (APA)
Sulayman, Ali& Ismail, Farhan& al-Wadi, Yusuf. 2013. Developing Hilbert’s nullstellensatz into categorical adjunction. Damascus University Journal for the Basic Sciences،Vol. 29, no. 2, pp.43-59.
https://search.emarefa.net/detail/BIM-750885
Modern Language Association (MLA)
Sulayman, Ali…[et al.]. Developing Hilbert’s nullstellensatz into categorical adjunction. Damascus University Journal for the Basic Sciences Vol. 29, no. 2 (2013), pp.43-59.
https://search.emarefa.net/detail/BIM-750885
American Medical Association (AMA)
Sulayman, Ali& Ismail, Farhan& al-Wadi, Yusuf. Developing Hilbert’s nullstellensatz into categorical adjunction. Damascus University Journal for the Basic Sciences. 2013. Vol. 29, no. 2, pp.43-59.
https://search.emarefa.net/detail/BIM-750885
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 59
Record ID
BIM-750885