Existence of a multiplicative basis for a finitely spaced module over an aggregate

It is proved that a finitely spaced module over $k$-category admits a multiplicative basis (such a module gives rise to a matrix problem in which the allowed column transformations are determined by a module structure, the row transformations are arbitrary, and the number of canonical matrices is fi...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Datum:1994
Hauptverfasser: Roiter, A. V., Sergeychuk, V. V., Ройтер, А. В., Сергійчук, В. В.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5719
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

Institution

Ukrains’kyi Matematychnyi Zhurnal
Beschreibung
Zusammenfassung:It is proved that a finitely spaced module over $k$-category admits a multiplicative basis (such a module gives rise to a matrix problem in which the allowed column transformations are determined by a module structure, the row transformations are arbitrary, and the number of canonical matrices is finite).