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Inversive semirings

Published online by Cambridge University Press:  09 April 2009

Paul H. Karvellas
Paul H. Karvellas
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Canada
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A semiring (S, +,·) is a nonempty set S, endowed with associative operations of addition and multiplication, such that the multiplicative semigroup (S, ·) distributes over the addition. That is: x(y +z) = xy + xz and (x + y)z = xz + yz for all x, y and z in S. A topological semiring is a semiring, defined on a Hausdorff space, such that both of the operations are jointly continuous.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 18 , Issue 3 , November 1974 , pp. 277 - 288
Copyright
Copyright © Australian Mathematical Society 1974

References

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