Bounds on Bass numbers and their dual

Abolfazl Tehranian, Siamak Yassemi

A. Tehranian, Science and Research Branch, Islamic Azad University, Tehran, Iran
S. Yassemi, Center of Excellence in Biomathematics, School of Mathematics, Statistics, and Computer Science, University of Tehran, Tehran, Iran


Abstract. Let $(R,\mathfrak{m})$ be a commutative Noetherian local ring. We establish some bounds for the sequence of Bass numbers and their dual for a finitely generated $R$-module. .

AMSclassification. 13C11, 13H10.

Keywords. Bass numbers, injective dimension, zero dimensional rings.