JP Journal of Algebra, Number Theory and Applications
Volume 25, Issue 2, Pages 177 - 213
(June 2012)
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SOME CATEGORICAL PROPERTIES OF THE ALGORITHM OF DIFFERENTIATION VII
FOR EQUIPPED POSETS
Agustin Moreno Canadas
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Abstract: We establish that the algorithm VII for equipped posets induces a categorical equivalence between some quotient categories. Such an algorithm belongs to the apparatus of differentiation introduced by A. G. Zavadskij to classify equipped posets of finite growth. |
Keywords and phrases: Auslander-Reiten quiver, categorical equivalence,
category, equipped poset, Gabriel quiver, matrix problem,
-space, poset, quiver, representations of posets. |
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