This is a preview. Log in through your library . Abstract We show that for every nonzero prime ideal P in a Noetherian domain R there are either just one or infinitely many prime ideals of the ...

This is a preview. Log in through your library . Abstract We show that, given integers 𝑛₁, 𝑛₂,..., 𝑛𝑘 with 2 < 𝑛₁ < 𝑛₂ < ... < 𝑛𝑘, there exists a local (Noetherian) unique factorization domain ...

Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...