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Motions of Matrix Rings

Published online by Cambridge University Press:  20 November 2018

Roy F. Keller
Roy F. Keller*
Affiliation:
University of Missouri, Columbia, Missouri
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Metric spaces in which the distances are not real numbers have been studied by several people (2, 3, 4, 7, 9). Any ring R together with a mapping, X —> ϕ(X), of R into a lattice A with 0 and 1 satisfying

is called a "lattice-valued ring," where the operations union, ∪, and intersection, ∩, are the usual lattice operations. The mapping ϕ is called a "valuation" and A is a 'Valuation lattice." If R is a lattice-valued ring and a mapping d is defined by

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 16 , 1964 , pp. 159 - 165
Copyright
Copyright © Canadian Mathematical Society 1964

References

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