Advanced search

Browse by subject

Browse by provider

Browse by language

Content Details
Normal View
CIP View

The Grassmann algebra in arbitrary chara...

Dor, Gal...

Free

Share this content

The Grassmann algebra in arbitrary characteristic and generalized sign by Dor, Gal ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	11-01-2015
Summary	We define a generalization G of the Grassmann algebra G which is well-behaved over arbitrary commutative rings C, even when 2 is not invertible. In particular, this enables us to define a notion of superalgebras that does not become degenerate in such a setting. Using this construction we are able to provide a basis of the non-graded multilinear identities of the free superalgebra with supertrace, valid over any ring. We also show that all identities of G follow from the Grassmann identity, and explicitly give its co-modules, which turn out to be generalizations of the sign representation. In particular, we show that the co-module is a free C-module of rank 2n−1.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1501.02464

Citation

Review the full bibliography data and make any necessary corrections before using. Always consult your library resources for the exact formatting and punctuation guidelines.

AMA 11th EditionReferences

Dor, Gal. The Grassmann algebra in arbitrary characteristic and generalized sign. N.A. January 11, 2015. Accessed October 01, 2025. https://online.provdatabase.com/cite/18274

APA 7th EditionReferences

Dor, Gal. (2015). The Grassmann algebra in arbitrary characteristic and generalized sign. N.A. https://online.provdatabase.com/cite/18274

Chicago 17th EditionReferences

Dor, Gal. The Grassmann algebra in arbitrary characteristic and generalized sign. N.A. 2015. https://online.provdatabase.com/cite/18274

HarvardReferences

Dor, Gal. (2015). The Grassmann algebra in arbitrary characteristic and generalized sign. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18274. (Accessed 01 October 2025).

Harvard AustraliaReferences

Dor, Gal, 2015, The Grassmann algebra in arbitrary characteristic and generalized sign, N.A, viewed 01 October 2025, <https://online.provdatabase.com/cite/18274>

MLA 9th EditionWorks Cited

Dor, Gal. The Grassmann algebra in arbitrary characteristic and generalized sign. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18274.

Share this eBook