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

In this paper, we determine the relative rank of the semigroup $T(X,Y)$ ofall transformations on a finite chain $X$ with restricted range $Y \subseteq X$modulo the set $OP(X,Y)$ of all orientation-preserving transformation in$T(X,Y)$. Moreover, we state the relative rank of the semigroup $OP(X,Y)$modulo the set $O(X,Y)$ of all order-preserving transformations in $OP(X,Y)$.In both cases we characterize the minimal relative generating sets.

On relative ranks of finite transformation semigroups with restricted range