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Lawvere intervals and the Möbius function of a Möbius category
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E. D. Schwab
Published/Copyright:
June 22, 2013
Abstract
Lawvere intervals of a Möbius category are finite one-way categories. We investigate a simple connection between the Möbius function of a Möbius category and the Möbius functions of its Lawvere intervals. In this investigation we have taken into consideration that a large class of Möbius categories arise as skeletons of division categories (that are right cancellative with pushouts). In general, the computation of the Möbius function for a Möbius category is laborious. In our case it becomes a routine computation on finite lattices. As an illustration, the results of this study may be used to compute the Möbius function of a proper Möbius category.
Published Online: 2013-06-22
Published in Print: 2012-10
© 2013 by Walter de Gruyter GmbH & Co.
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- Masthead
- On the algebras of almost minimal rank
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- The power conjugacy search problem in a cyclic subgroup in groups with the condition C.3/ & T.6/
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