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Duality for Ideals in the Grassmann Algebra

✍ Scribed by I. Dibag

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
213 KB
Volume
183
Category
Article
ISSN
0021-8693

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✦ Synopsis

A duality is established between left and right ideals of a finite dimensional Grassmann algebra such that if under the duality a left ideal α‘£ and a right ideal J correspond then α‘£ is the left annihilator of J and J the right annihilator of α‘£. Another duality is established for two-sided ideals of the Grassmann algebra where two ideals that correspond are annihilators of each other. The dual of the principal ideal generated by an exterior 2-form is completely determined.

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