Ore extensiosns as weak Hopf algebras
Joint Authors
Source
The Arabian Journal for Science and Engineering. Section C, Theme issues
Issue
Vol. 33, Issue 2C(s) (31 Dec. 2008), pp.19-26, 8 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2008-12-31
Country of Publication
Saudi Arabia
No. of Pages
8
Main Subjects
Topics
Abstract AR
نستخدم الطريقة التي قدمتها M.
Beattie و زملاؤها لبناء جبريات Hopf مدببة ذات بعد محدود.
سنطبق هذه الطريقة للحصول على امتداد Ore للجبرية kS حيث S شبه زمرة Clifford أبدالية محدودة.
امتداد Ore هذا سيكون جبرية Hopf ضعيفة مدرجة نصف شبكية و هي غير إبدالية، و غير أبدالية مصاحبة، و مدببة.
خارج هذه التركيبات الجبرية هي جبريات Hopf ضعيفة مدرجة نصف شبكية و ذات بعد محدود و مدببة.
و أخيرا، نحصل على امتداد Ore للجبرية الثانوية لشبه زمر Clifford الإبدالية.
Abstract EN
We use a technique introduced by M.
Beattie et al for constructing finite dimensional pointed Hopf algebras.
We apply this technique to obtain the Ore extension of the algebra kS of a finite commutative Clifford monoid S.
This Ore extension is a non-commutative and non-cocommutative pointed semilattice graded weak Hopf algebra.
Its quotients are finite dimensional pointed semilattice graded weak Hopf algebras.
Finally, we obtain the Ore extension of the algebra of the dual of the commutative Clifford monoid.
American Psychological Association (APA)
Ahmad, Munirah& Li, Fang. 2008. Ore extensiosns as weak Hopf algebras. The Arabian Journal for Science and Engineering. Section C, Theme issues،Vol. 33, no. 2C(s), pp.19-26.
https://search.emarefa.net/detail/BIM-358661
Modern Language Association (MLA)
Ahmad, Munirah& Li, Fang. Ore extensiosns as weak Hopf algebras. The Arabian Journal for Science and Engineering. Section C, Theme issues Vol. 33, no. 2C(s) (Dec. 2008), pp.19-26.
https://search.emarefa.net/detail/BIM-358661
American Medical Association (AMA)
Ahmad, Munirah& Li, Fang. Ore extensiosns as weak Hopf algebras. The Arabian Journal for Science and Engineering. Section C, Theme issues. 2008. Vol. 33, no. 2C(s), pp.19-26.
https://search.emarefa.net/detail/BIM-358661
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 26
Record ID
BIM-358661