Photo by vika_strawberrika from unsplash
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… Click to show full 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 for all In this paper, we give a complete description of the set-theoretical solutions of the form when either or is a group; moreover, we raise some questions.
Keywords:
theoretical solutions;
set theoretical;
solutions pentagon;
equation groups;
pentagon equation
Journal Title: Communications in Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Communications in Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!