Generalized quaternion rings over Z/nZ for an odd n

Advances in Applied Clifford Algebras Vol. 28, Nº 1, pp. 1 - 14, March, 2018.

ISSN (print): 0188-7009
ISSN (online): 1661-4909

Scimago Journal Ranking: 0,40 (in 2018)

Digital Object Identifier: 10.1007/s00006-018-0839-x

United Nations Strategic Development Goal - Industry, Innovation and Infrastructure

Abstract

We consider a generalization of the quaternion ring a commutative unital ring R that includes the case when a and b are not units of R. In this paper, we focus on the case R = Z/nZ for and odd n. Inparticular,foreveryoddintegern we compute the number of a,b non R-isomorphic generalized quaternion rings . Z/nZ

Basic Sciences and Enabling Technologies

Generalized quaternion rings over Z/nZ for an odd n