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

• Date: 1994
• Main Authors: Roiter, A. V., Sergeychuk, V. V., Ройтер, А. В., Сергійчук, В. В.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5719
• Journal Title: 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...