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单词 Alternate Algebra
释义

Alternate Algebra

Let denote an -Algebra, so that is a Vector Space over and

(1)


(2)

Then is said to be alternate if, for all
(3)


(4)

Here, Vector Multiplication is assumed to be Bilinear.


References

Finch, S. ``Zero Structures in Real Algebras.'' http://www.mathsoft.com/asolve/zerodiv/zerodiv.html.

Schafer, R. D. An Introduction to Non-Associative Algebras. New York: Dover, 1995.


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