NONCOMMUTATIVE HOLOMORPHIC FUNCTIONAL CALCULUS, AFFINE AND PROJECTIVE SPACES FROM NC-COMPLETE ALGEBRAS

Date

2020-01-01

Author

Dosi, A.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

167
views

0
downloads

The paper is devoted to a noncommutative holomorphic functional calculus and its application to noncommutative algebraic geometry. A description is given for the noncommutative (infinite-dimensional) affine spaces A(q)(x), 1 = 0, are calculated.

Subject Keywords

Algebra and Number Theory, Applied Mathematics, Analysis

URI

https://hdl.handle.net/11511/63378

Journal

ST PETERSBURG MATHEMATICAL JOURNAL

DOI

https://doi.org/10.1090/spmj/1617

Collections

Engineering, Article

Suggestions

OpenMETU
Core

On maximal curves and linearized permutation polynomials over finite fields Özbudak, Ferruh (Elsevier BV, 2001-08-08) The purpose of this paper is to construct maximal curves over large finite fields using linearized permutation polynomials. We also study linearized permutation polynomials under finite field extensions.
Value sets of Lattes maps over finite fields Küçüksakallı, Ömer (Elsevier BV, 2014-10-01) We give an alternative computation of the value sets of Dickson polynomials over finite fields by using a singular cubic curve. Our method is not only simpler but also it can be generalized to the non-singular elliptic case. We determine the value sets of Lattes maps over finite fields which are rational functions induced by isogenies of elliptic curves with complex multiplication.
ON FINITE GALOIS STABLE ARITHMETIC GROUPS AND THEIR APPLICATIONS Khrebtova, Ekaterina S.; Malinin, Dmitry (World Scientific Pub Co Pte Lt, 2008-12-01) We prove the existence and finiteness theorems for integral representations stable under Galois operation. An explicit construction of the realization fields for representations of finite groups stable under the natural operation of the Galois group is given. We also compare the representations over fields and the rings of integers, and give a quantitative result on the rarity of integral Galois stable representations. There is a series of related conjectures and applications to arithmetic algebraic geometr...
Fibre products of Kummer covers and curves with many points Özbudak, Ferruh (Springer Science and Business Media LLC, 2007-10-01) We study the general fibre product of any two Kummer covers of the projective line over finite fields. Under some assumptions, we obtain an involved condition for the existence of rational points in the fibre product over a rational point of the projective line so that we determine the exact number of the rational points. Using this, we construct explicit examples of such fibre products with many rational points. In particular we obtain a record and a new entry for the table (http://www.science.uva.nl/(simi...
Regularities in noncommutative Banach algebras Dosiev, Anar (Springer Science and Business Media LLC, 2008-07-01) In this paper we introduce regularities and subspectra in a unital noncommutative Banach algebra and prove that there is a correspondence between them similar to the commutative case. This correspondence involves a radical on a class of Banach algebras equipped with a subspectrum. Taylor and Slodkowski spectra for noncommutative tuples of bounded linear operators are the main examples of subspectra in the noncommutative case.

Citation Formats

A. Dosi, “NONCOMMUTATIVE HOLOMORPHIC FUNCTIONAL CALCULUS, AFFINE AND PROJECTIVE SPACES FROM NC-COMPLETE ALGEBRAS,” ST PETERSBURG MATHEMATICAL JOURNAL, pp. 607–656, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63378.