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357 results on '"Van Oystaeyen, Freddy"'

153. General theory of primes

Author

Marubayashi, Hidetoshi and Van Oystaeyen, Freddy

Subjects
Mathematics
Published
2012

159. Quotient Grothendieck representations

Author

Ndirahisha, J and Van Oystaeyen, Freddy

Subjects
Mathematics::Algebraic Geometry, Mathematics::Commutative Algebra, Mathematics::K-Theory and Homology, Mathematics::Category Theory, Mathematics::Rings and Algebras, Mathematics
Abstract

We generalize the concept of a Grothendieck representation to quotient Grothendieck representations, this allows the construction of a noncommutative projective geometry for geometrically graded rings that need not be positively graded.

Published
2006

160. Note on the generalized derivation tower theorem for Lie algebras

Author

Petit, Toukaiddine and Van Oystaeyen, Freddy

Subjects
Mathematics
Abstract

We provide an algorithm for decomposing a finite-dimensional Lie algebra over a field of characteristic 0 permitting to generalize the derivation tower theorem for Lie algebras proved by E. Schenkman [4].

Published
2006

167. Noncommutative Structures in Mathematics and Physics

Author

Fuchs, Jürgen, Caenepeel, Stefaan, Gutt, Simone, Schweigert, Christoph, Stolin, Alexander, Van Oystaeyen, Freddy, Fuchs, Jürgen, Caenepeel, Stefaan, Gutt, Simone, Schweigert, Christoph, Stolin, Alexander, and Van Oystaeyen, Freddy

Published
2010

175. Abstract algebra : A Comprehensive Treatment

Author

Menini, Claudia, Van Oystaeyen, Freddy, Menini, Claudia, Menini, Claudia, Van Oystaeyen, Freddy, and Menini, Claudia

Abstract

An ambitious, comprehensive book covering subject matter typically taught over the course of two or three years, Abstract Algebra offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to automatically smooth the trajectory of learning algebra from zero to one. Field-tested through advance use in the ERASMUS educational project in Europe.Including an original treatment of representation of finite groups that avoids the use of semisimple ring theory, Abstract Algebra explains sets, maps, posets, lattices, and other essentials of the algebraic language...Peano's axioms and cardinality...groupoids, semigroups, monoids, groups, and normal subgroups...congruences and isomorphism theorems for groups...cyclic groups and the symmetric group...Sylow's theorems...rings, ideals, homomorphisms, and quotient rings...unique factorization and principal ideal and Euclidean domains...quotient fields and the factoriality of rings of polynomials...modules and vector spaces...Galois theory...linear codes...and ordered rings.

Published
2004

200. New families of finite coherent orthoalgebras without bivaluations.

Author

Ruuge, Artur E. and Van Oystaeyen, Freddy

Subjects
*COHERENCE (Physics), *ALGEBRA, *MATHEMATICAL physics, *QUANTUM theory, *ORTHOGRAPHIC projection
Abstract

In the present paper we study the following problem: how to construct a coherent orthoalgebra which has only a finite number of elements, but at the same time does not admit a bivaluation (i.e., a morphism with a codomain being an orthoalgebra with just two elements). This problem is important in the perspective of Bell-Kochen-Specker theory, since one can associate such an orthoalgebra to every saturated noncolorable finite configuration of projective lines. The first result obtained in this paper provides a general method for constructing finite orthoalgebras. This method is then applied to obtain a new infinite family of finite coherent orthoalgebras that do not admit bivaluations. The corresponding proof is combinatorial and yields a description of the groups of symmetries for these orthoalgebras. [ABSTRACT FROM AUTHOR]

Published
2006
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