Combinatorics of words and semigroup algebras which are sums of locally nilpotent subalgebras

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dc.creatorDrensky, Vesselin
dc.creatorHammoudi, Lakhdar
dc.date2003-01-10
dc.date.accessioned2026-07-07T04:54:23Z
dc.date.available2026-07-07T04:54:23Z
dc.descriptionWe construct new examples of non-nil algebras with any number of generators, which are direct sums of two locally nilpotent subalgebras. As all previously known examples, our examples are contracted semigroup algebras and the underlying semigroups are unions of locally nilpotent subsemigroups. In our constructions we make more transparent than in the past the close relationship between the considered problem and combinatorics of words.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0301106
dc.identifierhttp://arxiv.org/abs/math/0301106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66230
dc.subjectRings and Algebras
dc.subjectCombinatorics
dc.subject16N40, 16S15, 20M05, 20M25, 68R15
dc.titleCombinatorics of words and semigroup algebras which are sums of locally nilpotent subalgebras
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