A non-associative incidence near-ring with a generalized Möbius function

نویسندگان

چکیده

There is a convolution product on 3-variable partial flag functions of locally finite poset that produces generalized Möbius function. Under the this function one sided inverse zeta and satisfies many generalizations classical results. In particular we prove analogues Phillip Hall’s Theorem as an alternating sum chain counts, Weisner’s Theorem, Rota’s Crosscut Theorem. A key ingredient to these results overlapping functions. Using define characteristic polynomial polynomials for ranked lattices. We compute certain families matroids has − 1 root if matroid modular. from Ardila Sanchez valuation.

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ژورنال

عنوان ژورنال: Ars Mathematica Contemporanea

سال: 2023

ISSN: ['1855-3974', '1855-3966']

DOI: https://doi.org/10.26493/1855-3974.2894.b07