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2 181 (0,082s) •

Project

Algebraic Structures, Number Theory and Their Aplications. (IAA1187101)

Algebraic number theory studies the arithmetics of algebraic number fields - rings of integers in numbers fields, the ideals in the ring of integers fails arithmeticalproperties of field of algebraic numbers. Project is int...

BA - Obecná matematika

  • 2001 - 2003
    • •
  • 2 871 tis. Kč
    • •
  • 1 641 tis. Kč
    • •
  • AV ČR
Project

The ideal class groups of abelian extensions of some number fields (GA18-11473S)

The ideal class groups of algebraic number fields have been invented by E. E object of algebraic number theory. They were introduced for the purpose of solving classical topics of algebraic number theory. For abelian fields...

Pure mathematics

  • 2018 - 2020
    • •
  • 2 207 tis. Kč
    • •
  • 1 574 tis. Kč
    • •
  • GA ČR
Project

Set-theoretical and categorial methods in topological and algebraic structures (GA201/03/0933)

mathematics concerning set-theoretical topology, topological algebraic structures tool and asubjectfor research; properties of topological groups and other algebraic, are: combinatorial andcategorial approach, connections to Boolea...

BA - Obecná matematika

  • 2003 - 2005
    • •
  • 7 440 tis. Kč
    • •
  • 1 485 tis. Kč
    • •
  • GA ČR
Project

Ideal class groups of algebraic number fields (GAP201/11/0276)

An ideal class group of an algebraic number field K is an important classical object that has been introduced by Kummer in 19th century as a useful tool to solve then there is a more available object, namely the group C of circular units...

BA - Obecná matematika

  • 2011 - 2014
    • •
  • 2 848 tis. Kč
    • •
  • 2 848 tis. Kč
    • •
  • GA ČR
Project

The ideal class groups of abelian number fields (GA15-15785S)

The ideal class groups of algebraic number fields have been invented by E. E object of algebraic number theory. They were introduced due to their usefulness of the most important classical topics of algebraic number theory....

BA - Obecná matematika

  • 2015 - 2017
    • •
  • 1 980 tis. Kč
    • •
  • 1 980 tis. Kč
    • •
  • GA ČR
Project

Superalgebra approach for free algebras (KJB101210801)

The research project consists ot three parts. The first part conserns with the description of central and nuclear skew-symmetric functions in the free alternative algebra on the countable set of generators. Here we plan to extend the techniq...

BA - Obecná matematika

  • 2008 - 2010
    • •
  • 555 tis. Kč
    • •
  • 555 tis. Kč
    • •
  • AV ČR
Project

Measure algebras (IAA100190509)

We shall investigate measure algebras with emphasis on their algebraic characterization. We shall concentrate on the open problems related to the long standing open problem of John von Neumann from the Scottish Book.......

BA - Obecná matematika

  • 2005 - 2009
    • •
  • 500 tis. Kč
    • •
  • 500 tis. Kč
    • •
  • AV ČR
Project

C*-Algebras of Symmetries and their Invariants (GF25-15403K)

, in C*-algebra theory, with a focus on C*-algebras associated to symmetries*-algebras associated with single homeomorphisms and more general groupoids; Hecke C*-algebras, which are deformations of C*-algebras...

Pure mathematics

  • 2025 - 2027
    • •
  • 6 333 tis. Kč
    • •
  • 6 333 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 are as follows: (1) ...

BA - Obecná matematika

  • 2000 - 2002
    • •
  • 708 tis. Kč
    • •
  • 708 tis. Kč
    • •
  • GA ČR
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 for chain ...

BA - Obecná matematika

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