Detail publikačního výsledku

On the S-operation in polynomial rings

KUREŠ, M.

Originální název

On the S-operation in polynomial rings

Anglický název

On the S-operation in polynomial rings

Druh

Článek recenzovaný mimo WoS a Scopus

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.

Klíčová slova

Polynomial, Gröbner basis, Buchberger's algorithm, finite ring

Klíčová slova v angličtině

Polynomial, Gröbner basis, Buchberger's algorithm, finite ring

Autoři

KUREŠ, M.

Rok RIV

2014

Vydáno

31.12.2013

Nakladatel

Taru Publications

ISSN

0972-0529

Periodikum

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY

Svazek

16

Číslo

6

Stát

Indická republika

Strany od

329

Strany do

336

Strany počet

8

BibTex

@article{BUT105985,
  author="Miroslav {Kureš}",
  title="On the S-operation in polynomial rings",
  journal="JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY",
  year="2013",
  volume="16",
  number="6",
  pages="329--336",
  issn="0972-0529"
}