International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 2, Pages 301-309
doi:10.1155/S0161171293000365
Idempotent and compact matrices on linear lattices: A survey of some lattice results and related solutions of finite relational equations
Fortunata Liguori
, Giulia Martini
and Salvatore Sessa
Università di Napoli, Facoltà di Architettura, Istituto Matematico, Via Monteoliveto 3, Napoli 80134, Italy
Abstract
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.