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Semicontinuous lattices
Authors:D Zhao
Institution:(1) Division of Mathematics, School of Science, Nanyang Technological University, 469 Bukit Timah Road, Singapore 259756, Singapore. E-mail: zhaod@nievax.nie.ac.sg, SG
Abstract:In this paper we introduce and study a new type of lattices, semicontinuous lattices, by using semiprime ideals. Such lattices have many properties similar to that of continuous lattices, and are closely related to the theory of continuous lattices. Received November 3, 1995; accepted in final form March 13, 1997.
Keywords:, Semiprime ideals, semicontinuous and strongly continuous lattices, pseudoprime elements, bases of lattices,
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