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

• 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
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...