2 problems

Let $S=k[x_1,\ldots,x_n]$, let $\mathfrak a=\langle m_1,\ldots,m_l\rangle\subset S$ be a monomial ideal, and set $A=S/\mathfrak a$. The ideal $\mathfrak a$ satisfies the strong gcd…

Let $(R,\mathfrak{m},k)$ be a local Golod ring of embedding codimension $e$. An indecomposable-syzygy conjecture asserts that there is a set of at most $e+1$ indecomposable $R$-mod…