Riesz spaces of measures on semirings

Authors

  • Z. Ercan Abant Izzet Baysal University, Department of Mathematics, 14280, Bolu, Turkey Author

Keywords:

Riesz spaces, semiring, measure

Subjects:

28C99, 46G12

Abstract

It is shown that the spaces of finite valued signed measures (signed charges)on $\sigma$-semirings (semirings) are Dedekind complete Rieszspaces, which generalizes known results on $\sigma$-algebra and algebra cases.

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Published

2009-07-15

Issue

Vol. 61 No. 3 (2009): Vol. 61, Issue 3

Section

Articles

License

Copyright (c) 2009 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.