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.
Keywords: Riesz spaces; semiring; measure
MSC: 28C99, 46G12
Pages: 235--239
Volume 61 , Issue 3 , 2009
Published by Društvo matematičara Srbije Kneza Mihaila 35/IV, P.O.B. 355, 11000 Belgrade, Serbia E-mail: drustvomatematicara(at)yahoo.com Fax: +381 11 3036 819 ISSN 2406-0682 (Online), ISSN 0025–5165 (Print)