Notes on semimedial semigroups
Fitore Abdullahu, Abdullah Zejnullahu
Abstract
Open-access reader
Fitore Abdullahu, Abdullah Zejnullahu
Abstract
Open-access reader
summary:The class of semigroups satisfying semimedial laws is studied. These semigroups are called semimedial semigroups. A connection between semimedial semigroups, trimedial semigroups and exponential semigroups is presented. It is proved that the class of strongly semimedial semigroups coincides with the class of trimedial semigroups and the class of dimedial semigroups is identical with the class of exponential semigroups.
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summary:The class of semigroups satisfying semimedial laws is studied. These semigroups are called semimedial semigroups. A connection between semimedial semigroups, trimedial semigroups and exponential semigroups is presented. It is proved that the class of strongly semimedial semigroups coincides with the class of trimedial semigroups and the class of dimedial semigroups is identical with the class of exponential semigroups.
Key concepts: Special classes of semigroups, Mathematics, Krohn–Rhodes theory, Class (philosophy), Semigroup, Pure mathematics, Exponential function, Connection (principal bundle)