EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 97(111), pp. 23–31 (2015)

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HOPF ALGEBRA OF PROJECTION FUNCTIONS

Zarko Mijajlovic, Aleksandar Pejovic

State University of Novi Pazar, Novi Pazar, Serbia; Institute of Mathematics, Serbian Academy of Science and Arts, Belgrade, Serbia

Abstract: We study Hopf algebras over projection functions of the complex vector $C^X$ appropriate for computing inversion formulas from discrete mathematics. Using calculus of projection functions introduced in this way, we derived various inversion formulas, including Gould's inversion formula and its generalizations.

Keywords: Hopf algebra; projection; inverse formula

Classification (MSC2000): 03B35; 03C13; 03G27

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Electronic fulltext finalized on: 16 Apr 2015. This page was last modified: 21 Apr 2015.

© 2015 Mathematical Institute of the Serbian Academy of Science and Arts
© 2015 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition