منابع مشابه
Free pre-Lie algebras are free as Lie algebras
We prove that free pre-Lie algebras, when considered as Lie algebras, are free. Working in the category of S-modules, we define a natural filtration on the space of generators. We also relate the symmetric group action on generators with the structure of the anticyclic PreLie operad.
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In this paper we adopt the terminology of universal algebra. So by a free algebra we will mean that a variety (i.e., an equationally defined class of algebras) is given and the algebra is free in that variety. We will also assume that the language of any variety is countable. In this paper the investigation of the almost free algebras is continued. An algebra is said to be almost free if “most”...
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ژورنال
عنوان ژورنال: Formalized Mathematics
سال: 2012
ISSN: 1898-9934,1426-2630
DOI: 10.2478/v10037-012-0029-6