Publication detail

On the S-operation in polynomial rings

KUREŠ, M.

Original Title

On the S-operation in polynomial rings

Type

journal article - other

Language

English

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

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

Authors

KUREŠ, M.

RIV year

2013

Released

31. 12. 2013

Publisher

Taru Publications

ISBN

0972-0529

Periodical

Journal of Discrete Mathematical Sciences & Cryptography

Year of study

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"
}