Publication detail

On the S-operation in polynomial rings

KUREŠ, M.

English title

On the S-operation in polynomial rings

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original abstract

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.

Keywords in English

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

Released

2013-12-31

Publisher

Taru Publications

ISSN

0972-0529

Journal

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY

Volume

16

Number

6

Pages from–to

329–336

Pages count

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"
}