| On Derivations of Bounded Hyperlattices |
| Received:January 08, 2015 Revised:October 21, 2015 |
| Key Words:
hyperlattice derivation differential hyperideal differential hypercongruence
|
| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11571281). |
| Author Name | Affiliation | | Juntao WANG | School of Mathematics, Northwest University, Shaanxi 710127, P. R. China | | Yongbae JUN | Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Korea | | Xiaolong XIN | School of Mathematics, Northwest University, Shaanxi 710127, P. R. China | | Yuxi ZOU | School of Mathematics, Northwest University, Shaanxi 710127, P. R. China |
|
| Hits: 3297 |
| Download times: 3090 |
| Abstract: |
| In this paper we introduce derivations in hyperlatices and derive some basic properties of them. Also, some properties of differential hyperideals and differential hypercongruences are studied. Further we prove that for an injective strong differential hyperlattice $(L,d)$ and for a strongly differential hypercongruence $R$ of $(L,d)$, the quotient hyperlattice $(L/R,g)$ is an injective strongly differential hyperlattice, where $g$ is an injective strong derivation on $L/R$ induced by $d$. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2016.02.003 |
| View Full Text View/Add Comment |
|
|
|
