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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Given a polynomial ring $C$ over a field and proper ideals $I$ and $J$ whosegenerating sets involve disjoint variables, we determine how to embed theassociated primes of each power of $I+J$ into a collection of primes describedin terms of the associated primes of select powers of $I$ and of $J$. We recordtwo applications. First, in case the field is algebraically closed, weconstruct primary decompositions for powers of $I+J$ from primarydecompositions for powers of $I$ and $J$. Separately, we attack the persistenceproblem for associated primes of powers of an ideal in case one of $I$ or $J$is a non-zero normal ideal.

Tensor-Multinomial Sums of Ideals: Primary Decompositions and Persistence of Associated Primes