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

We give a complete characterization of supercylicity for abelian semigroups of matrices on Rn , n 1 . We solve the problem of determining the minimal number of matrices over R which form a supercyclic abelian semigroup on Rn . In particular, we show that no abelian semigroup generated by [ n−1 2 ] matrices on Rn can be supercyclic. ( [ ] denotes the integer part). This answers a question raised by the second author in [H. Marzougui, Monatsh. Math. 175 (2014), 401–410]. Furthemore, we show that supercyclicity and R+ -supercyclicity are equivalent. Mathematics subject classification (2010): 47A16, 47A15.

On supercyclicity for abelian semigroups of matrices on ℝ^n