Covering algebras and \(q\)-binomial generating functions
type: Item
instance of: scholarly article
title: Covering algebras and \(q\)-binomial generating functions
zbMATH Open document ID: 0797.05005
DOI: 10.1016/0012-365X(94)90106-6
author: Reid Davis
author: Carl G. Wagner
published in: Discrete Mathematics
publication date: 1994-05-05T00:00:00Z
review text: In this paper the authors, R. Davis and C. Wagner, study the reduced covering algebras of binomial lattices by using the theory of reduced incidence algebras of binomial posets, and construct an isomorphic algebra of arithmetic functions called the Newton algebra. It is shown that for modular binomial lattices in which length two intervals contain more than one atom, the Newton algebra may be construed as an algebra of formal \(q\)-binomial series.
Mathematics Subject Classification ID: 05A30
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A10
zbMATH DE Number: 562585
zbMATH Keywords: generating functions
zbMATH Keywords: covering algebras
zbMATH Keywords: binomial lattices
zbMATH Keywords: incidence algebras
zbMATH Keywords: binomial posets
zbMATH Keywords: Newton algebra
zbMATH Keywords: formal \(q\)-binomial series
reviewed by: D. V. Chopra
MaRDI profile type: Publication
cites work: Q5620608
cites work: Q5685088
cites work: Q5592270
cites work: On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions
cites work: Formal Power Series
cites work: Q5589310
cites work: On the foundations of combinatorial theory I. Theory of M�bius Functions
cites work: Q3748279
full work available at URL: 0012-365x(94)90106-6
OpenAlex ID: W2000879288
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description: scientific article; zbMATH DE number 562585