Quasi regular groups of finite commutative nilpotent algebras

Norman Henry Eggert, Jr.

Vol. 36 (1971), No. 3, 631–634

DOI: 10.2140/pjm.1971.36.631

Abstract

Let J be a finite commutative nilpotent algebra over a field F of characteristic p. J forms an abelian group under the “circle” operation, defined by a ∘ b = a + b + ab. This group is called the quasi regular group of J.

Our main purpose is to investigate the relationship between the structure of J as an algebra, and the structure of its quasi regular group.

Mathematical Subject Classification

Primary: 16.94

Milestones

Received: 26 January 1968

Published: 1 March 1971