Principal quasi-ideals of cohomological dimension 1

We prove that a principal quasi-ideal of a noncommutative free semigroup has cohomological dimension 1 if and only if it is free.

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Bibliographische Detailangaben
Datum:	2018
1. Verfasser:	Novikov, B. V.
Format:	Artikel
Sprache:	English
Veröffentlicht:	Lugansk National Taras Shevchenko University 2018
Schlagworte:	cohomology of semigroups cohomological dimension quasi-ideal free semigroup 20M05 20M50
Online Zugang:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1144
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Назва журналу:	Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

Beschreibung
Zusammenfassung:	We prove that a principal quasi-ideal of a noncommutative free semigroup has cohomological dimension 1 if and only if it is free.