a1 Department of Mathematics, University of Hawaii, Honolulu, HI 96822, United States of America, e-mail: firstname.lastname@example.org
a2 Department of Mathematics and Sciences, Saint Leo University, Saint Leo, FL 33574, United States of America, e-mail: email@example.com
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)