On a new invariant of finitely generated modules over local rings

Nguyen Tu Cuong, Doan Trung Cuong, Hoang Le Truong

Let $M$ be a finitely generated module on a local ring $R$ and $\F: M_0\subset M_1\subset...\subset M_t=M$ a filtration of submodules of $M$ such that $d_o<d_1<...<d_t=d$, where…