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2015 | 13 | 1 |

Tytuł artykułu

A signature-based algorithm for computing Gröbner-Shirshov bases in skew solvable polynomial rings

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Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
Signature-based algorithms are efficient algorithms for computing Gröbner-Shirshov bases in commutative polynomial rings, and some noncommutative rings. In this paper, we first define skew solvable polynomial rings, which are generalizations of solvable polynomial algebras and (skew) PBW extensions. Then we present a signature-based algorithm for computing Gröbner-Shirshov bases in skew solvable polynomial rings over fields.

Wydawca

Czasopismo

Rocznik

Tom

13

Numer

1

Opis fizyczny

Daty

otrzymano
2014-04-23
zaakceptowano
2015-01-21
online
2015-05-06

Twórcy

autor
  • Department of Mathematics, Huizhou University, Huizhou, Guangdong, 516007, China,
    E-mail: xiangui.zhao@foxmail.com
autor
  • Department of Mathematics, University of Manitoba, Winnipeg, R3T 2N2, Canada, E-mail: yang.zhang@umanitoba.ca

Bibliografia

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  • [19] Shirshov A. I., Some algorithmic problems for Lie algebras, Sibirsk. Mat. Zh. 3 (1962), no. 2, 292–296.
  • [20] Sun Y., Wang D., Ma X., and Zhang Y., A signature-based algorithm for computing Gröbner bases in solvable polynomial algebras, Proceedings of the 2012 International Symposium on Symbolic and Algebraic Computation, ACM, 2012, pp. 351–358.
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Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

bwmeta1.element.doi-10_1515_math-2015-0028
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