Affiliation:
1. College of Mathematics and Econometrics Hunan University Hunan Changsha CHINA
2. China Jiliang University Zhejiang CHINA
Abstract
Abstract
In this paper, the notion of derivation on partially ordered sets is introduced and studied. Several characterization theorems on derivations are presented. The properties of the fixed points based on the derivations are investigated. Finally, the properties of ideals and operations related with derivations are studied.
Reference27 articles.
1. Bell H. E.—Mason G.: On derivations in near-rings and near-fields, North-Holland Math. Stud. 137 (1985), 31–35.
2. Bell H. E.—Kappe L. C.: Rings in which derivations satisfy certain algebraic conditions, Acta Math. Hungar. 53 (1989), 339–346.
3. Birkhoff, G.: Lattice Theory, American Mathematical Society, 1984.
4. Chajda, I.: Complemented ordered sets, Arch. Math. (Brno) 28 (1992), 25–34.
5. Chajda, I.—Rachůnek, J.: Forbidden configurations for distributive and modular ordered sets, Order 5 (1989), 407–423.
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