B. V. Novikov, “Principal quasi-ideals of cohomological dimension 1”, Algebra Discrete Math., 2003, выпуск 1,страницы 87

RESEARCH ARTICLE

Principal quasi-ideals of cohomological dimension 1

B. V. Novikov

Saltovskoye shosse 258, apt. 20, 61178, Kharkov, Ukraine

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

Ключевые слова: cohomology of semigroups, cohomological dimension, quasi-ideal, free semigroup.

MSC: 20M05, 20M50

Поступила в редакцию: 10.02.2003

Язык публикации: английский