半环的模糊$h$ -理想
Fuzzy $h$-ideals of hemirings
摘要：
利用模糊$h$ -理想给出了$h$ -半正则半环的一个刻画.研究了$h$ -半正则半环的素模糊$h$ -理想的一些性质。证明了半环$S$的模糊子集$ζ$是$S$的素模糊左（右）$h$ -理想当且仅当$ζ$是二值的，$ζ(0) = 1$，以及$S$中所有$x$的集合使得$ζ(x) = 1$是$S$的素（左）右$h$ -理想。最后，讨论了半环的极大模糊左（右）$h$ -理想的相似性质.
英文摘要：
A characterization of an $h$-hemiregular hemiring in terms of a fuzzy $h$-ideal is provided. Some properties of prime fuzzy $h$-ideals of $h$-hemiregular hemirings are investigated. It is proved that a fuzzy subset $ζ$ of a hemiring $S$ is a prime fuzzy left (right) $h$-ideal of $S$ if and only if $ζ$ is two-valued, $ζ(0) = 1$, and the set of all $x$ in $S$ such that $ζ(x) = 1$ is a prime (left) right $h$-ideal of $S$. Finally, the similar properties for maximal fuzzy left (right) $h$-ideals of hemirings are considered.
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