We introduce the notions of τ -exceptional and signed sequences for any finite dimensional algebra. prove that a fixed algebra rank n , positive integer t ≤ there is bijection between set length (basic) ordered support -rigid objects with indecomposable direct summands. If hereditary, our coincide exceptional sequences. The latter were recently introduced by Igusa Todorov, who constructed simil...

The year 2020 will certainly remain in our memories as an exceptional time. Challenging and distressing, when looking at the Covid-19 pandemic; vibrant energizing, science. Polymer science, particular. Symposia, meetings, editorial projects were organized worldwide by journals chemical societies for 100th anniversary of polymer To celebrate this important milestone, we shared views on future sc...

Abstract This commentary attempts to contribute a further elucidation of Dominic Smith’s call for rehabilitation the transcendental in philosophy technology. On one hand, it focuses on why such is deemed necessary, particularly light diagnosis contemporary tendency towards reification and presentism . Postphenomenology discussed as challenge invitation clarify stakes. other this inquires into h...

Exceptional points, where eigenvalues and eigenvectors coalesce, impact the behavior of different photonics components that show, e.g., enhanced sensing, coherent perfect absorption, unidirectional lasing, chirality. However, only a few passive geometries have been developed work on these points. Here, we introduce novel non-Hermitian structure based microresonator shaped as infinity symbol twi...