CAJ | 학술논문

主要是应用正整数的有序分拆，研究了有限格及其 Hasse图问题，证明了有限格和有限格对应的Hasse图在同构意义下是一一对应的；引进了一个格的Hasse图的格类的概念，并给出了一种画n个顶点的格对应的Hasse图的简便而有效的方法，并且研究了有限半模格的 Hasse图的一些性质。
주요시응용정정수적유서분탁，연구료유한격급기 Hasse도문제，증명료유한격화유한격대응적Hasse도재동구의의하시일일대응적；인진료일개격적Hasse도적격류적개념，병급출료일충화n개정점적격대응적Hasse도적간편이유효적방법，병차연구료유한반모격적 Hasse도적일사성질。
In this paper ,we mainly study finite lattice and its Hasse diagram by using the parti-tion of a positive integer .We prove that the finite lattice and its corresponding Hasse diagram is one-to-one in the sense of isomorphism .We introduce the notion of class of a lattice and give a concise and effective way to draw a Hasse diagram of a lattice of n vertices .We also study some properties of Hasse diagrams of semimodular lattices .