Isomorphism theorems and fuzzy k-ideals of k-semirings

We define and study the fuzzy maximal k-ideal of a k-semiring. Also we characterize the quotient k-semiring R/A of a k-semiring R by a fuzzy maximal k-ideal A, and we have some isomorphism theorems in commutative k-semirings and further we have some properties of the quotient k-semiring R/A of all cosets of a fuzzy semiprimary (semiprime, primary, prime) k-ideal A in a commutative k-semiring R.