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Partially ordered sets and nonmatrix identities of associative algebras

โœ Scribed by V. N. Latyshev

Publisher
Springer US
Year
1976
Tongue
English
Weight
666 KB
Volume
15
Category
Article
ISSN
0002-5232

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Galois Connections for Incidence Hopf Al
Galois Connections for Incidence Hopf Algebras of Partially Ordered Sets
โœ Marcelo Aguiar; Walter Ferrer Santos ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 277 KB

An important well-known result of Rota describes the relationship between the Mo bius functions of two posets related by a Galois connection. We present an analogous result relating the antipodes of the corresponding incidence Hopf algebras, from which the classical formula can be deduced. To motiva