When is C+(X) the continuous semiring?


1 Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran.

2 Faculty of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran.


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.


Main Subjects

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Volume 12, Issue 1
April 2022
Pages 54-61
  • Receive Date: 08 August 2021
  • Revise Date: 24 January 2022
  • Accept Date: 26 January 2022
  • First Publish Date: 02 March 2022