Abstract
In this paper, we study binomial skew polynomial rings A. We produce a Groebner basis of each two-sided ideal in A (as left ideal). Thus we give a positive answer to the question 2 inFootnote a : ‘Is it true that A has a decidable membership problem for finitely generated two-sided ideals?’
Notes
aGateva-Ivanova T. (Citation1996). Skew polynomial rings with binomial relations. J. Algebra 185(3):710–753.