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Ideals of an EMV-semiring
Published in International Journal of General Systems, 2020
R. A. Borzooei, M. Shenavaei, A. Di Nola, O. Zahiri
We know that each EMV-ideal of is a lattice ideal, thus it is an ideal of S. However, a prime ideal of is not a prime ideal of S, in general. For example, is a prime ideal of EMV-algebra , but it is not a prime ideal of EMV-semiring , since , but .