k-Fuzzy ideals in semirings

Special types of intuitionistic fuzzy left h-ideals of hemirings

“…It interesting that the regularity of hemirings can be characterized by fuzzy h-ideals (Zhan and Dudek 2007). General properties of fuzzy k-ideals are described in Dutta and Biswas (1995), Ghosh (1998) and Kim and Park (1996). Other important results connected with fuzzy h-ideals in hemirings were obtained in Jun et al (2004) and Zhan (2005).…”

On the Fuzzy Nil Radicals of Fuzzy Ideals of κ-semirings

“…Lemma 2-11(Chun, Kim and Kim [5]). Let A be a fuzzy ideal of a semiring R. Then A(x)≤A(0) for all x∈R.…”

“…Example 2-18(Kim and Park [5]). Let R = Z * , the set of nonnegative integers and let I= (2,3) be an ideal of R generated by 2 and 3.…”

“…Let R and S be any sets and let f : [15] [5]). Let R be a commutative k−semiring,R its extension ring.…”

“…Thenf is a ring homomorphism, called an extension ring homomorphism of f Definition 2-10(Kim and Park [5]). A fuzzy ideal of a semiring R is a function A : R→[0, 1] satisfying the following conditions:…”