Bulletin of the Australian Mathematical Society

Research Article

A class of finite commutative rings constructed from Witt rings

Thomas Cravena1 and Monika Voa2

a1 Department of Mathematics, University of Hawaii, Honolulu, HI 96822, United States of America, e-mail: tom@math.hawaii.edu

a2 Department of Mathematics and Sciences, Saint Leo University, Saint Leo, FL 33574, United States of America, e-mail: monika.vo@saintleo.edu

Motivated by constructions of Witt rings in the algebraic theory of quadratic forms, the authors construct new classes of finite commutative rings and explore some of their properties. These rings are constructed as quotient rings of a special class of integral group rings for which the group is an elementary 2-group. The new constructions are compared to other rings in the literature.

(Received August 29 2005)