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 realÂvalued 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 -