On the structure of quaternion rings-Reference-Cited by-同舟云学术

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On the structure of quaternion rings

Published:2022 Issue:6 Volume:36 Page:1911-1920
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Cheraghpour H.¹,Ghosseiri M.N.¹,Heidari Zadeh²,Safari S.¹

Affiliation:

1. Department of Mathematics, University of Kurdistan, Sanandaj, Iran

2. Department of Mathematics and Statistics, Shoushtar Branch, Islamic Azad University, Shoushtar, Iran

Abstract

Let S be a ring with identity in which 2 is invertible. In this paper we describe the structure of the quaternion ring R = H(S) which is a generalization of the Hamilton?s division ring of real quaternions H = H(R).

Publisher

National Library of Serbia

Subject

General Mathematics

Reference13 articles.

1. M. Aristidou and A. Demetre, A Note on Quaternion Rings over Zp, International Journal of Algebra 3(15) (2009) 725-728.

2. M. Aristidou and A. Demetre, Idempotent Elements in Quaternion rings over Zp, International Journal of Algebra 6(5) (2012) 249-254.

3. H. Cheraghpour and M.N. Ghosseiri, On the idempotents, nilpotents, units and zero-divisors of finite rings, Linear Multilinear Algebra 67(2) (2019) 327-336.

4. B. Coan, C.T. Perng, Factorization of Hurwitz quaternions, International Mathematical Forum 7 (2012) 2143-2156.

5. P.M. Cohn, Skew fields. Theory of general division rings, Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge, 1995.

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