Subalgebra analogue to H-basis for ideals

Author(s)

Junaid Alam Khan, Institute of Business Administration, KarachiFollow
Muhammad Ahsan Binyamin, Government College University Lahore
Rabia, Government College University Lahore

Author Affiliation

Junaid Alam Khan is Assistant Professor at Institute of Business Administration (IBA), Karachi

Faculty / School

Faculty of Computer Sciences (FCS)

Department

Department of Mathematical Sciences

Was this content written or created while at IBA?

Yes

Document Type

Article

Source Publication

Hacettepe Journal of Mathematics and Statistics

ISSN

1303-5010

Keywords

Gröbner basis, H-basis, Sagbi basis

Disciplines

Algebra | Analysis | Geometry and Topology | Mathematics | Number Theory

Abstract

The H-basis concept allows an investigation of multivariate polynomial spaces degree by degree. In this paper we present the analogue of Hbases for subalgebras in polynomial rings, we call them "SH-bases". We present their connection to the Sagbi basis concept, characterize SH-basis and show how to construct them.

Indexing Information

HJRS - X Category, Scopus, Web of Science - Science Citation Index Expanded (SCI)

Recommended Citation

Khan, J. A., Binyamin, M. A., & Rabia. (2016). Subalgebra analogue to H-basis for ideals. Hacettepe Journal of Mathematics and Statistics, 45 (6), 1685-1692. Retrieved from https://ir.iba.edu.pk/faculty-research-articles/178

Publication Status

Published