The existence of non-thin subalgebras of $K[x]/x^n$ and related numerical monoids

Abstract

We find the minimal dimension for a truncated polynomial algebra over an arbitrary field for which there exists a "non-thin" subalgebra. Moreover, we discuss examples of subalgebras, and count them in low dimensions.

Comments welcome, 15 pages. Some typos fixed

References in corpus (1)

• On minimal extensions of rings and applications