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Ideals in autometrized algebras

Published online by Cambridge University Press:  09 April 2009

K. L. N. Swamy  and
N. P. Rao
N. P. Rao
Affiliation:
Department of Mathematics, Andhra University, Waltair 530 003, India.
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Abstract

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A notion of a normal autometrized algebra is introduced which generalises the concepts of Boolean geometry. Brouwerian geometry, autometrized lattice ordered groups, semi-Brouwerian geometry, etc. The notions of ideals and congruence relations are introduced in normal autometrized algebras and a one to one correspondence between ideals and congruence relations is established. Some other common properties of the above geometries are also obtained for normal autometrized algebras.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 3 , November 1977 , pp. 362 - 374
Copyright
Copyright © Australian Mathematical Society 1977

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