Strictly Increasing Additive Generators of the Second Kind of Associative Binary Operations
| Nov 15, 2019
Tatra Mountains Mathematical Publications
Real Functons, Ideals, Measurable Functions, Functional Equations
Published Online: Nov 15, 2019
Page range: 159 - 176
Received: Dec 03, 2018
DOI: https://doi.org/10.2478/tmmp-2019-0026
Keywords
© 2019 Peter Viceník, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
The class of strictly increasing additive generators of the second kind is defined and analyzed. Necessary and sufficient conditions for a binary operation generated by a strictly increasing additive generator of the second kind to be associative are introduced. The relation between the class of strictly increasing additive generators of the second kind of associative binary operations and the class of discrete upper additive generators of associative binary operations is revealed.