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/

Zendy Plus

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

Zendy Tools

Zendy Open

Let $B$ be an one-point extension of a finite dimensional $k$-algebra $A$ bya simple $A$-module at a source point $i$. In this paper, we classify the$\tau$-tilting modules over $B$. Moreover, it is shown that there are equations  $$|\tilt B|=|\tilt A|+|\tilt A/\langle e_i\rangle|\quad \text{and}\quad|\stilt B|=2|\stilt A|+|\stilt A/\langle e_i\rangle|.$$  As a consequence, we can calculate the numbers of $\tau$-tilting modules andsupport $\tau$-tilting modules over linearly Dynkin type algebras whose squareradical are zero.

$\tau$-Tilting modules over one-point extensions by a simple module at a source point