MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Riesz spaces of measures on semirings
Z. Ercan

Abstract

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

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Keywords: Riesz spaces; semiring; measure

MSC: 28C99, 46G12

Pages:  235$-$239     

Volume  61 ,  Issue  3 ,  2009