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Classification of Finite Rings of Order p6 by Generators and Relations
Joint Authors
Gholami, M.
Beyranvand, R.
Karimi Beiranvand, P.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-01-15
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
For any finite abelian group (R,+), we define a binary operation or “multiplication” on R and give necessary and sufficient conditions on this multiplication for R to extend to a ring.
Then we show when two rings made on the same group are isomorphic.
In particular, it is shown that there are n+1 rings of order pn with characteristic pn, where p is a prime number.
Also, all finite rings of order p6 are described by generators and relations.
Finally, we give an algorithm for the computation of all finite rings based on their additive group.
American Psychological Association (APA)
Karimi Beiranvand, P.& Beyranvand, R.& Gholami, M.. 2013. Classification of Finite Rings of Order p6 by Generators and Relations. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-473854
Modern Language Association (MLA)
Karimi Beiranvand, P.…[et al.]. Classification of Finite Rings of Order p6 by Generators and Relations. Journal of Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-473854
American Medical Association (AMA)
Karimi Beiranvand, P.& Beyranvand, R.& Gholami, M.. Classification of Finite Rings of Order p6 by Generators and Relations. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-473854
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473854