Artinian level algebra of codimension 3 and type 2

Abstract

Fröberg and Laksov의 정리에 근거하여 여차원이 3, 형태가 2, 길이가 7인 level이 될 가능성이 있는 341개의 Artinian O-수열에 대하여 level 여부를 연구하였다. Theorem과 Remark를 통해 level이 되지 않는 O-수열을 찾아 각 경우에 해당하는 Table을 만들었다. 또한 앞의 방법을 통해 제거되지 않은 O-수열 중 level이 되지 않는 특별한 경우를 증명하였다. level이 되는 58개의 수열은 CoCoA, S-plus를 이용하여 “link-sum”을 구성하였다.|Based on a theorem of Froberg and Laksov, I researched about 341 Artinian O-sequences which have a possibility that becomes a level of Codimension 3, Type 2, and Length 7. After the O-sequence, is not become a level by Theorem and Remark, was found out, the table, which conforms to each case, was completed. Of the O-sequence that was not rejected by the former method, the special case, that is not become a level, was also demonstrated. the 58 sequences that become a level organized "link-sum" with CoCoA and S-plus.