English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

	   Fix a poset  Q  on  			 		 $\{x_1,\ldots ,x_n\}$ 		. A  Q -Borel monomial ideal  			 		 $I \subseteq \mathbb {K}[x_1,\ldots ,x_n]$ 		is a monomial ideal whose monomials are closed under the Borel-like moves induced by  Q . A monomial ideal  I  is a principal  Q -Borel ideal, denoted  			 		 $I=Q(m)$ 		, if there is a monomial  m  such that all the minimal generators of  I  can be obtained via  Q -Borel moves from  m . In this paper we study powers of principal  Q -Borel ideals. Among our results, we show that all powers of  			 		 $Q(m)$ 		agree with their symbolic powers, and that the ideal  			 		 $Q(m)$ 		satisfies the persistence property for associated primes. We also compute the analytic spread of  			 		 $Q(m)$ 		in terms of the poset  Q .

Powers of Principal Q-Borel ideals