Capa do livro de Standard Bases and Primary Decomposition
Título do livro:

Standard Bases and Primary Decomposition

The F4-Algorithm for Euclidean Rings and Efficient Algorithm for Primary Decomposition over Rings

LAP LAMBERT Academic Publishing (2011-11-25 )

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ISBN- 1 3:

978-3-8465-9852-8

ISBN- 1 0:
3846598526
EAN:
9783846598528
Idioma do livro:
Inglês
Anotações e citações/ texto breve:
The theory of standard bases in polynomial rings with coefficients in a ring with respect to local orderings is developed. Then the generalization of F4-Algorithm for polynomial rings with coefficients in Euclidean rings is given. This algorithm computes successively a Gröbner basis replacing the reduction of one single s-polynomial in Buchberger's algorithm by the simultaneous reduction of several polynomials. And finally we present an algorithm to compute a primary decomposition of an ideal in a polynomial ring over the rings. For this purpose we use algorithms for primary decomposition in polynomial rings over the rationals resp. over finite fields, and the idea of Shimoyama--Yokoyama resp. Eisenbud--Hunecke--Vasconcelos to extract primary ideals from pseudo-primary ideals.
Editora:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
Por (autor):
Afshan Sadiq
Número de páginas:
104
Publicado em:
2011-11-25
Stock:
Disponível
Categoria:
Matemática
Preço:
49 €
Palavras chave:
Monomial ideals, Monomial ordering, Groebner Basis, Division Algorithms, Primary Decomposition

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