Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-808812120220321When is C+(X) the continuous semiring?When is C+(X) the continuous semiring?54611738210.22055/jamm.2022.37999.1953FAForough DeldarFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran.Shaban GhalandarzadehFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran.Mehrdad NamdariFaculty of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran.Journal Article20210808In this paper, after proving some results in commutative semirings, we focus on the semiring:<br /><br />C(X) of all continuous nonnegative realÂvalued functions on a space X with the positive operations,<br /><br />and then we charactrize the space X, such that C(X) is a continuous semiring. And give some properties of the semiring.In this paper, after proving some results in commutative semirings, we focus on the semiring:<br /><br />C(X) of all continuous nonnegative realÂvalued functions on a space X with the positive operations,<br /><br />and then we charactrize the space X, such that C(X) is a continuous semiring. And give some properties of the semiring.https://jamm.scu.ac.ir/article_17382_a6130745e18ff147213599e2660ba960.pdf