Duplij S. Semigroup methods in supersymmetric theories of elementary particles OKD3

The thesis is devoted to abstract, geometric and symmetric aspects of modern theory of elementary particles. A new direction in constructing supersymmetric and superstring models based on consequent and strong consideration and inclusion of semigroups, ideals and noninvertible properties into their mathematical structure. A theory of semisupermanifolds and noninvertible generalization of superconformal and hyperbolic geometries are built. The carried out investigations allowed us to formulate a theoretical model of elementary particles based on supersymmetry in terms of more general categories and new structures-as a theory of abstract semigroups. OKD4