By Topic

Rectangular algebras

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Poschel, R. ; Inst. fur Algebra, Tech. Univ., Dresden, Germany ; Reichel, M.

Algebras of the variety RAτ generated by projection algebras (of type τ) are called rectangular algebras. It turns out that an algebra (A; F) is rectangular if and only if A can be decomposed in (i.e., encoded by) components in such a way that every term function f:AnA can be performed in parallel and is a projection on each component (algebraically speaking, if <A; F> is isomorphic to a direct product of projection algebras). A list Στ of identities that completely characterize rectangular algebras is given. Every term in RAτ has a normal form. Some algorithms (for decomposition and normal form) and examples for finite algebras of finite type are given

Published in:

Multiple-Valued Logic, 1992. Proceedings., Twenty-Second International Symposium on

Date of Conference:

27-29 May 1992