TY - JOUR ID - 17382 TI - When is C+(X) the continuous semiring? JO - Journal of Advanced Mathematical Modeling JA - JAMM LA - en SN - 2251-8088 AU - Deldar, Forough AU - ghalandarzadeh, shaban AU - Namdari, Mehrdad AD - Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran. AD - Faculty of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran. Y1 - 2022 PY - 2022 VL - 12 IS - 1 SP - 54 EP - 61 KW - Baer semiring KW - complemented element KW - idempotent KW - semiring of continuous functions KW - von Neumann regular DO - 10.22055/jamm.2022.37999.1953 N2 - In this paper, after proving some results in commutative semirings, we focus on the semiring:C(X) of all continuous nonnegative real­valued functions on a space X with the positive operations,and then we charactrize the space X, such that C(X) is a continuous semiring. And give some properties of the semiring. UR - https://jamm.scu.ac.ir/article_17382.html L1 - https://jamm.scu.ac.ir/article_17382_a6130745e18ff147213599e2660ba960.pdf ER -