REPRESENTABLE DISTRIBUTIVE NOETHER LATTICES

被引:15
作者
JOHNSON, EW
LEDIAEV, JP
机构
关键词
D O I
10.2140/pjm.1969.28.561
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Recently, Bogart showed thata certain class of distributive Noether lattices, namely regular local ones, are embeddable in the lattice of ideals of an appropriate Noetherian ring. In this paper a characterizationof the distributive Noether lattices which are representable as the complete lattice of ideals of a Noetherian ring is obtained. © 1969 by Pacific Journal of Mathematics.
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页码:561 / &
相关论文
共 3 条
[1]  
BOGART KP, 1968, MICH MATH J, V15, P167
[2]   ABSTRACT COMMUTATIVE IDEAL THEORY [J].
DILWORTH, RP .
PACIFIC JOURNAL OF MATHEMATICS, 1962, 12 (02) :481-&
[3]  
ZARISKI O, COMMUTATIVE ALGEBRA