ON SOLVABILITY AND NILPOTENCY OF ALGEBRAS WITH BRACKET
نویسندگان
چکیده
منابع مشابه
Lie Nilpotency Indices of Modular Group Algebras
Let K be a field of positive characteristic p and KG the group algebra of a group G. It is known that if KG is Lie nilpotent then its upper (or lower) Lie nilpotency index is at most |G| + 1, where |G| is the order of the commutator subgroup. The class of groups G for which these indices are maximal or almost maximal have already been determined. Here we determine G for which upper (or lower) L...
متن کاملthe 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.
15 صفحه اولModular Group Algebras with Almost Maximal Lie Nilpotency Indices. I
Let K be a field of positive characteristic p and KG the group algebra of a group G. It is known that, if KG is Lie nilpotent, then its upper (or lower) Lie nilpotency index is at most |G|+ 1, where |G| is the order of the commutator subgroup. The authors have previously determined the groups G for which this index is maximal and here they determine the G for which it is ‘almost maximal’, that ...
متن کاملModular Group Algebras with Maximal Lie Nilpotency Indices
In the present paper we give the full description of the Lie nilpo-tent group algebras which have maximal Lie nilpotency indices.
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2017
ISSN: 0304-9914
DOI: 10.4134/jkms.j160213