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Information × Registration Number 0211U002423, 0107U010499 , R & D reports Title Cremona transformations and locally nilpotent derivations of polynomial algebras: theory and apllications to the surplus error correcting nformation codes and cryptography popup.stage_title Head Bodnarchuk Jurij, Registration Date 07-02-2011 Organization National University of "Kyiv-Mohyla Academy" popup.description2 Transformations and representations of algebraic and discrete structures such as affine spaces and varieties metric spaces in particular Baire's spaces and semigroup algebras are investigated. Some application of polynomial transformations to coding of information are considered and algorithms of corresponding calculations are proposed. The series of locally nilpotent derivations which exponents give exotic polynomial transformations of affine spaces. Combining descriptions of structure of modules over generalized Weil Algebras with infinite dimensional variant of the method of orbits allowed to get a number of important representations of unitriangular transformation group. The operation of wreath product of metric spaces is introduced. Some properties of this operation and its natural generalizations are considered. The behavior of constringent functions on the ring of 2-adic integers as Baire metric space is investigated. A representation types of a semigroup algebras for Rees semigroup are ascertained. Product Description popup.authors Боднарчук Юрій Вікторович Дяченко Сергій Миколайович Лепеха Тетяна Сергіївна Морозов Денис Іванович Олійник Богдана Віталіївна Прокоф'єв Павло Генадійович popup.nrat_date 2020-04-02 Close