Specht property of varieties of graded Lie algebras
نویسندگان
چکیده
Let $$UT_n(F)$$ be the algebra of $$n\times n$$ upper triangular matrices and denote $$UT_n(F)^{(-)}$$ Lie on vector space with respect to usual bracket (commutator), over an infinite field F. In this paper, we give a positive answer Specht property for ideal $$\mathbb {Z}_n$$ -graded identities canonical grading when characteristic p F is 0 or larger than $$n-1$$ . Namely prove that every graded in free contains , finitely based. Moreover show if $$p=2$$ then {Z}_3$$ $$UT_3^{(-)}(F)$$ do not satisfy property. More precisely, construct explicitly containing which generated as identities.
منابع مشابه
the structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2023
ISSN: ['0026-9255', '1436-5081']
DOI: https://doi.org/10.1007/s00605-023-01840-3