The book is devoted to various abstract aspects of the theory of supermanifolds and superconformal manifolds, and properties of supermatrix semigroups and operators. A direction in constructing supersymmetric and superstring models based on consequent and strong consideration and inclusion of semigroups, ideals and noninvertible features into their mathematical structure is proposed. A theory of semisupermanifolds and noninvertible generalization of superconformal and hyperbolic geometries are presented. New continuous supermatrix representations of semigroups are investigated.

This is the 2nd Printing of the previously sold out Ukrainian edition.

For researchers in semigroup application methods and supersymmetric particle theories.

Illustrations 3. Tables 3. Bibliography 805.