Fuzzy $h$-ideals of hemirings
| dc.creator | Zhan, Jianming | |
| dc.creator | Dudek, Wiesław A. | |
| dc.date | 2006-05-28 | |
| dc.date.accessioned | 2026-07-07T07:39:59Z | |
| dc.date.available | 2026-07-07T07:39:59Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0605713 | |
| dc.identifier | http://arxiv.org/abs/math/0605713 | |
| dc.identifier | Information Sciences 177 (2007), 876-886 | |
| dc.identifier | doi:10.1016/j.ins.2006.04.005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121656 | |
| dc.subject | Rings and Algebras | |
| dc.subject | General Mathematics | |
| dc.subject | 16Y60; 13E05; 03G25 | |
| dc.title | Fuzzy $h$-ideals of hemirings | |
| dc.type | text |