Idempotent and compact matrices on linear lattices: a survey of some lattice results and related solutions of finite relational equations

After a survey of some known lattice results, we determine the greatest idempotent (resp. compact) solution, when it exists, of a finite square rational equation assigned over a linear lattice. Similar considerations are presented for composite relational equations.

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Bibliographic Details
Main Authors: Fortunata Liguori, Giulia Martini, Salvatore Sessa
Format: Article
Language:English
Published: Wiley 1993-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171293000365
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Description
Summary:After a survey of some known lattice results, we determine the greatest idempotent (resp. compact) solution, when it exists, of a finite square rational equation assigned over a linear lattice. Similar considerations are presented for composite relational equations.
ISSN:0161-1712
1687-0425