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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We investigate the finitary functions from a finite product of finite fields$\prod_{j =1}^m\mathbb{F}_{q_j} = \mathbb{K}$ to a finite product of finitefields $\prod_{i =1}^n\mathbb{F}_{p_i} = \mathbb{F}$, where $|\mathbb{K}|$ and$|\mathbb{F}|$ are coprime. An $(\mathbb{F},\mathbb{K})$-linearly closedclonoid is a subset of these functions which is closed under composition fromthe right and from the left with linear mappings.  We give a characterization of these subsets of functions through the$\mathbb{F}_p[\mathbb{K}^{\times}]$-submodules of $\mathbb{F}_p^{\mathbb{K}}$,where $\mathbb{K}^{\times}$ is the multiplicative monoid of $\mathbb{K} =\prod_{i=1}^m\mathbb{F}_{q_i}$. Furthermore we prove that each of these subsetsof functions is generated by a set of unary functions and we provide an upperbound for the number of distinct $(\mathbb{F},\mathbb{K})$-linearly closedclonoids.

Closed sets of finitary functions between products of finite fields of coprime order