Publication result detail

On the S-operation in polynomial rings

KUREŠ, M.

Original Title

On the S-operation in polynomial rings

English Title

On the S-operation in polynomial rings

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

English 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

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

Key words in English

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

Authors

KUREŠ, M.

RIV year

2014

Released

31.12.2013

Publisher

Taru Publications

ISBN

0972-0529

Periodical

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY

Volume

16

Number

6

State

Republic of India

Pages from

329

Pages to

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"
}