IJPAM: Volume 112, No. 4 (2017)

Title

ON $\mathbb{Z}_p$-INVOLUTION

Authors

Ameer Jaber$^1$, Hamed M. Obiedat$^2$, Ibrahim Abu Falahah$^3$
$^{1,2,3}$Department of Mathematics
The Hashemite University
Zarqa, 13115, JORDAN

Abstract

Our main purpose is to study the existence of $\mathbb{Z}_p$-involution on central simple $\mathbb{Z}_p$-algebras. Then we define a $\mathbb{Z}_3$-involution on a central simple $\mathbb{Z}_3$-algebra.

History

Received: October 28, 2016
Revised: December 19, 2016
Published: February 19, 2017

AMS Classification, Key Words

AMS Subject Classification: 16W10
Key Words and Phrases: central simple $\mathbb{Z}_p$-algebras, $\mathbb{Z}_p$-involutions, division $\mathbb{Z}_p$-algebras

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Bibliography

1
A. Elduque, O. Villa, The existence of superinvolutions, Journal of Algebra, 319 (2008), 4338-4359.

2
A. Jaber, Existence of Pseudo-Superinvolutions of The First Kind, International Journal of Mathematics and Mathematical Sciences, Volume 2008 (2008), Article ID 386468, 13 pages, doi: https://doi.org/10.1155/2008/386468.

3
A. Jaber, On Primitive $\mathbb{Z}_p$-Algebra, Submitted.

4
C.T.C. Wall, Graded Brauer groups, Reine Angew. Math., 213 (1963), 187-199.

5
M.L. Racine, Primitive superalgebras with superinvolution, Journal of Algebra, 206 (1998), 588-614.

6
M.L. Racine, E.I. Zelmanov, Simple Jordan superalgebras with semisimple even part, Journal of Algebra, 270 (2003), 374-444.

How to Cite?

DOI: 10.12732/ijpam.v112i4.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 4
Pages: 763 - 775


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