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10 643 (0,085s) •

Project

Algebraic and measure-theoretic aspects of quantum structures (GA201/07/1051)

The project is focused on the research in pure mathematics (ordered structures, algebra, functional analysis). The main goal is to investigate topical open problems in the theory of orthomodular structures, noassociative

BA - Obecná matematika

  • 2007 - 2009
    • •
  • 1 117 tis. Kč
    • •
  • 1 117 tis. Kč
    • •
  • GA ČR
Project

Operator algebras, orthocomplemented structures, and non-commutative measure theory (GA201/00/0331)

, algebra). The main goal is to investigate topical open problems in the theory of operator algebras, orthomodular structures and non-commutative measure theory built on these structures. The main research lines ar...

BA - Obecná matematika

  • 2000 - 2002
    • •
  • 708 tis. Kč
    • •
  • 708 tis. Kč
    • •
  • GA ČR
Project

Homotopically invariant algebraic structures (ME 603)

The project is focused on applications of the methods of homotopy invariant algebraic structures in mathematical physics, , ,...

BA - Obecná matematika

  • 2002 - 2005
    • •
  • 996 tis. Kč
    • •
  • 327 tis. Kč
    • •
  • MŠMT
Project

Homotopy invariant structures in algebra (IAA1019203)

for algebraic structures was made much later, in 1999 by the applicant in his paper "Homotopy algebras are homotopy algebras". Some of the methods of the paper have already an idealhomological perturbation lemma f...

BA - Obecná matematika

  • 2002 - 2003
    • •
  • 403 tis. Kč
    • •
  • 137 tis. Kč
    • •
  • AV ČR
Project

Mathematical formalism of quantum theories (operator algebras and ordered structures with orthocomplemantation ) (GA201/96/0117)

, algebra) and theoretical physics. From the mathematical standpoint the project deals with the theory of operator algebras, ordered structures with orthocomplemantations analytic problems of oeprator algebras, (vo...

BA - Obecná matematika

  • 1996 - 1998
    • •
  • 742 tis. Kč
    • •
  • 710 tis. Kč
    • •
  • GA ČR
Project

Applications of algebraic methods in non-classical logics (MEB061105)

In the proposed project we expect the development of residuated structures, not necessarily lattices, in connection with effect algebras, capturing of time dimension in the quantum logics via tense operators (quantifiers) and applic...

BA - Obecná matematika

  • 2011 - 2012
    • •
  • 78 tis. Kč
    • •
  • 78 tis. Kč
    • •
  • MŠMT
Project

Algebraic methods in non-classical logics (MEB060912)

Every propositional logic is naturally connected with several derived algebraic structures. In particular, these are the implication reducts, the ordered structures of values and so-called ring-like structures. Bes...

BA - Obecná matematika

  • 2009 - 2010
    • •
  • 76 tis. Kč
    • •
  • 76 tis. Kč
    • •
  • MŠMT
Project

Applications of C*-algebra classification dynamics, geometry, and their quantum analogues (GJ20-17488Y)

in C*-algebras to understand the fine structure of classifiable C*-algebras Each the successes of the classification programme for C*-algebras. There are 3 main goals: A-Study structural properties and es...

Pure mathematics

  • 2020 - 2023
    • •
  • 8 666 tis. Kč
    • •
  • 8 666 tis. Kč
    • •
  • GA ČR
Project

Categorical methods of the theory of structures and computer science (GA201/99/0310)

,multiequational specifications of data types, clones of topological and algebraic structures will be focused on algebraic theories, varieties and algebraic specification of data types, on structured categ...

BA - Obecná matematika

  • 1999 - 2001
    • •
  • 2 256 tis. Kč
    • •
  • 2 089 tis. Kč
    • •
  • GA ČR
Project

Topological and geometrical properties of Banach spaces and operator algebras II (GA17-00941S)

We wish to investigate the structure of Banach spaces, C*-algebras and Jordan algebras and their relationship. Main topics include quantitative approach to Banach, structure of abelian subalgebras of a C*-algeb...

BA - Obecná matematika

  • 2017 - 2019
    • •
  • 8 784 tis. Kč
    • •
  • 6 646 tis. Kč
    • •
  • GA ČR
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