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Motions of Matrix Rings
- Source :
- Canadian Journal of Mathematics. 16:159-165
- Publication Year :
- 1964
- Publisher :
- Canadian Mathematical Society, 1964.
-
Abstract
- 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 satisfyingis 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
Details
- ISSN :
- 14964279 and 0008414X
- Volume :
- 16
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Mathematics
- Accession number :
- edsair.doi...........88f25e39e0e9135a8e2fcf59d95e4179