On the regularity of join-meet ideals of modular lattices

Abstract

We study join-meet ideals associated with modular non-distributive lattices. We give a lower bound for the regularity and show that they are not linearly related.

Some algebraic invariants of the residue class rings of the edge ideals of perfect semiregular trees

“…In the recent years, the algebraic invariants namely depth, Stanley depth, regularity, projective dimension and Krull dimension of Z n -graded modules are the center of attention for many researchers. For some existing results on the said invariants, we refer the readers to [2,4,9,21,24,30]. Also the interplay of algebraic properties of edge ideal and graph invariants is of great interest.…”