منابع مشابه
Hom-alternative Algebras and Hom-jordan Algebras
The purpose of this paper is to introduce Hom-alternative algebras and Hom-Jordan algebras. We discuss some of their properties and provide construction procedures using ordinary alternative algebras or Jordan algebras. Also, we show that a polarization of Hom-associative algebra leads to Hom-Jordan algebra. INTRODUCTION Hom-algebraic structures are algebras where the identities defining the st...
متن کاملPre-alternative Algebras and Pre-alternative Bialgebras
We introduce a notion of pre-alternative algebra which may be seen as an alternative algebra whose product can be decomposed into two pieces which are compatible in a certain way. It is also the “alternative” analogue of a dendriform dialgebra or a pre-Lie algebra. The left and right multiplication operators of a pre-alternative algebra give a bimodule structure of the associated alternative al...
متن کاملAnnihilator-small Right Ideals
A right ideal A of a ring R is called annihilator-small if A+ T = R; T a right ideal, implies that l(T ) = 0; where l( ) indicates the left annihilator. The sum Ar of all such right ideals turns out to be a two-sided ideal that contains the Jacobson radical and the left singular ideal, and is contained in the ideal generated by the total of the ring. The ideal Ar is studied, conditions when it ...
متن کامل3-d Local Monoplane Annihilator
The LOMOPLAN (LOcal MOnoPLane ANnihilator) lter in three dimensions is a deconvolution lter that takes a volume in and produces two volumes out. The x-output volume results from a rst order prediction-error lter on the x-axis, and the y-output volume is likewise on the y-axis. Synthetic data studies are promising.
متن کاملThe Wedderburn Principal Theorem for Alternative Algebras
for all a, x in 21. I t is clear that associative algebras are alternative. The most famous examples of alternative algebras which are not associative are the so-called Cayley-Dickson algebras of order 8 over $. Let S be an algebra of order 2 over % which is either a separable quadratic field over 5 or the direct sum 5 ©3There is one automorphism z—>z of S (over %) which is not the identity aut...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1983
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1983.107.89