Unions of rank/trace complete preorders

• Published in: Linear algebra and its applications Vol. 570; pp. 181 - 224
• Main Authors: Bart, Harm, Ehrhardt, Torsten, Silbermann, Bernd
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Inc 01.06.2019; American Elsevier Company, Inc
• Subjects: Algebra; Completeness; Graph theory; Linear algebra; Logarithmic residue; Mathematical analysis; Matrix algebra; Peripheral coupling; Sum of idempotents; Zero pattern matrix algebra; secondary; Sum of idempotents; Peripheral coupling; Zero pattern matrix algebra; Logarithmic residue; primary

A zero pattern algebra is a matrix algebra determined by a pattern of zeros corresponding to a preorder (i.e., a reflexive transitive digraph). The issue studied in [6] is: under what conditions is a matrix in a zero pattern algebra A a sum of (rank one) idempotents in A or a logarithmic residue in...