A composite functional equation on groups
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DOI: 10.1007/s00010-016-0454-7
Abstract: We analyse the composite functional equation $$f(x+2f(y))=f(x)+y+f(y)$$f(x+2f(y))=f(x)+y+f(y) on certain groups. In particular we give a description of solutions on abelian 3-groups and finitely generated free abelian groups. This is motivated by a work of Pál… read more here.
Keywords: equation groups; functional equation; abelian groups; equation ... See more keywords
Set-theoretical solutions of the pentagon equation on groups
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DOI: 10.1080/00927872.2019.1632331
Abstract: Abstract Let M be a set. A set-theoretical solution of the pentagon equation on M is a map such that where and and τ is the flip map, i.e., the permutation on M × M given by… read more here.
Keywords: theoretical solutions; set theoretical; solutions pentagon; equation groups ... See more keywords