All Theses and Dissertations

Degree

Master of Science in Mathematics

Department

Department of Mathematical Sciences

Date of Award

Spring 2018

Advisor

Dr. Junaid Alam Khan

Committee Member 1

Dr. Junaid Alam Khan, Institute of Business Administration, Karachi

Project Type

Thesis

Access Type

Restricted Access

Pages

viii, 30

Abstract

In this thesis, we have developed the theory of Sagbi bases and Sagbi Groebner bases in a polynomial ring with countably infinite indeterminates over a field and also explored the behavior of Sagbi Groebner bases for ideals in algebras of polynomial ring with finite indeterminate over a field under (de)homogenization technique. We have discussed that the things work in a same manner for Sagbi Groebner bases as in case of Groebner and Sagbi bases.

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