Detail publikace

On the S-operation in polynomial rings

Originální název

On the S-operation in polynomial rings

Anglický název

On the S-operation in polynomial rings

Jazyk

en

Originální abstrakt

S-polynomials used in the Buchberger's algorithm for Gröbner basis, are introduced in a more general situation. For polynomials viewed as mappings from a monoid to a ring, we define the S-operation and derive its properties. We also demonstrate its application on polynomials on a ring which is not a field.

Anglický abstrakt

S-polynomials used in the Buchberger's algorithm for Gröbner basis, are introduced in a more general situation. For polynomials viewed as mappings from a monoid to a ring, we define the S-operation and derive its properties. We also demonstrate its application on polynomials on a ring which is not a field.

BibTex


@article{BUT105985,
  author="Miroslav {Kureš}",
  title="On the S-operation in polynomial rings",
  annote="S-polynomials used in the Buchberger's algorithm for Gröbner basis, are introduced in a more general situation. For polynomials viewed as mappings from a monoid to a ring, we define the S-operation and derive its properties. We also demonstrate its application on polynomials on a ring which is not a field.",
  address="Taru Publications",
  chapter="105985",
  institution="Taru Publications",
  number="6",
  volume="16",
  year="2013",
  month="december",
  pages="329--336",
  publisher="Taru Publications",
  type="journal article - other"
}