On the Behaviour of Stanley Depth under Variable Adjunction

Mihai Cipu, Muhammad Imran Qureshi

Let $S=K[x_1,...,x_n]$ be a polynomial ring in $n$ variables over the field $K$. For integers $1\le t<n$ consider the ideal $I=(x_1,...,x_t)\cap (x_{t+1},...,x_n)$ in $S$. In thi…