Research articles

Exponent matrices and their quivers

V. V. Kirichenko^a, A. V. Zelensky^b, V. N. Zhuravlev<sup>a

a</sup> Department of Mechanics and Mathematics, Kiev National Taras Shevchenko University, Kiev, Ukraine
^b Department of Mathematics Chernivcy, National Yurii Fedkovich University, Chernivcy, Ukraina

Abstract: We consider exponent matrices and investigate their connections with tiled orders and quivers, finite partially ordered sets and doubly stochastic matrices.

Keywords and phrases: Exponent matrix, quiver, tiled order, Gorenstein quasigroup, reduced exponent $(0,1)$-matrix, index of a finite partially ordered set.

MSC: 16P40, 16G10

Received: 19.01.2004

Language: English

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