Affiliation:
1. Department of Mathematics, University of Louisville, Louisville, KY, 40292, USA
Abstract
In our previously published papers [Monomial sequence of linear type, Illinois J. Math.52 (2008) 1213–1221; Sequences between d-sequences and sequences of linear type, Comment. Math. Univ. Carolin.50 (2009) 1–9; Two-generated ideals of linear type, Acta Math. Univ. Comenian. (N.S.)78 (2009) 97–102] we have introduced and discussed the notion of a c-sequence in a commutative ring. In this paper we compare this notion with the notion of a d-sequence. The ideal generated by any of these sequences is of linear type. We show that there are c-sequences that are not d-sequences and that c-sequences satisfy analogs of sharp Artin–Rees properties that hold for d-sequences. We also discuss closeness of c and d-sequences.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory