Remark on nilpotency of derivations

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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.

15 صفحه اول

The Degrees of Nilpotency of Nilpotent Derivations on the Ring of Matrices

We consider Mn(R), the ring of n by n matrices on the real numbers where n ≥ 2. We find all of the natural numbers that are the degree of nilpotency of some nilpotent derivations on Mn(R). Mathematics Subject Classification: 16S50, 13N15, 16N40

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This de nition clearly coincides with the usual (algebraic) notion of derivation when [A; +, ·] is a ring. However, it can be formally stated for every algebraic structure endowed with two binary operations. In this paper, we will consider the special case in which [A; +, ·] is a lattice, so that + and · are, respectively, the join and the meet operations. These ideas have been introduced and d...

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ژورنال

عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences

سال: 1984

ISSN: 0386-2194

DOI: 10.3792/pjaa.60.329