SOME ABSTRACT PROPERTIES OF SEMIGROUPS APPEARING IN SUPERCONFORMAL THEORIES
Steven Duplij
TL;DR
This paper introduces a novel class of semigroups arising in superconformal symmetry within superstring theories, exploring their ideal structures, idealisers, and Green's relations to understand their algebraic properties.
Contribution
It presents the first detailed study of semigroups linked to superconformal symmetry, including the construction of an ideal series and the definition of ideal quasicharacters.
Findings
Constructed an ideal series with unusual properties
Defined and analyzed ideal quasicharacters
Established connections between Green's relations and ideal quasicharacters
Abstract
A new type of semigroups which appears while dealing with superconformal symmetry in superstring theories is considered. The ideal series having unusual abstract properties is constructed. Various idealisers are introduced and studied. The ideal quasicharacter is defined. Green's relations are found and their connection with the ideal quasicharacter is established.
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