Units in finite loop algebras of RA2 loops-Reference-Cited by-同舟云学术

Units in finite loop algebras of RA2 loops

Published:2016-02-22 Issue:01 Volume:09 Page:1650026
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Sidana Swati¹,Sharma R. K.¹

Affiliation:

1. Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, India

Abstract

Let [Formula: see text] be the loop algebra of a loop [Formula: see text] over a field [Formula: see text]. In this paper, we characterize the structure of the unit loop of [Formula: see text] modulo its Jacobson radical when [Formula: see text] is an [Formula: see text] loop obtained from the dihedral group of order [Formula: see text], [Formula: see text] is an odd number and [Formula: see text] is a finite field of characteristic [Formula: see text]. The structure of [Formula: see text] is also determined.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557116500261

Reference12 articles.

1. Loops whose loop rings in characteristic 2 are alternative

2. Some classes of semisimple group (and loop) algebras over finite fields

3. Six Moufang Loops of Units

4. North-Holland Mathematics Studies;Goodaire E. G.,1996

5. A Characterization of the Unit Loop of the Integral Loop Ring Zm(16)(Q,2)

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