منابع مشابه
Cohomology of Associative Triple Systems
In the following a cohomology for associative triple systems is defined. The classical corollaries can be extended to the associative triples.
متن کاملOn Free Partially Associative Triple Systems
A triple system is partially associative (by deenition) if it satisses the identity (abc)de + a(bcd)e + ab(cde) 0. This paper presents a computational study of the free partially associative triple system on one generator with coeecients in the ring Z of integers. In particular, the Z-module structure of the homogeneous submodules of (odd) degrees 11 is determined, together with explicit genera...
متن کاملOn Free Partially Associative Triple Systems
A triple system is partially associative (by definition) if it satisfies the identity (abc)de + a(bcd)e + ab(cde) 0. This paper presents a computational study of the free partially associative triple system on one generator with coefficients in the ring Z of integers. In particular, the Z-module structure of the homogeneous submodules of (odd) degrees 5 11 is determined, together with explicit ...
متن کاملIdeals in Non-associative Universal Enveloping Algebras of Lie Triple Systems
The notion of a non-associative universal enveloping algebra for a Lie triple system arises when Lie triple systems are considered as Bol algebras (more generally, Sabinin algebras). In this paper a new construction for these universal enveloping algebras is given, and their properties are studied. It is shown that universal enveloping algebras of Lie triple systems have surprisingly few ideals...
متن کاملRight ideals in non–associative universal enveloping algebras of Lie triple systems
We prove that the only proper right ideal of the universal enveloping algebra of a finite–dimensional central simple Lie triple system over a field of characteristic zero is its augmentation ideal.
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ژورنال
عنوان ژورنال: International Journal of Pure and Apllied Mathematics
سال: 2014
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v95i4.7