Research Article

On the graded identities of the Grassmann algebra

Volume: 4 Number: 2 (Special Issue: Noncommutative rings and their applications) January 10, 2017
EN

On the graded identities of the Grassmann algebra

Abstract

We survey the results concerning the graded identities of the infinite dimensional Grassmann algebra.

Keywords

References

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  2. [2] N. Anisimov, Zp-codimension of Zp-identities of Grassmann algebra, Comm. Algebra 29(9) (2001) 4211–4230.
  3. [3] S. S. Azevedo, Graded identities for the matrix algebra of order n over an infinite field, Comm. Algebra 30(12) (2002) 5849–5860.
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  5. [5] S. S. Azevedo, M. Fidelis, P. Koshlukov, Graded identities and PI equivalence of algebras in positive characteristic, Comm. Algebra 33(4) (2005) 1011–1022.
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  7. [7] L. Centrone, Z2-graded identities of the Grassmann algebra in positive characteristic, Linear Algebra Appl. 435(12) (2011) 3297–3313.
  8. [8] L. Centrone, The G-graded identities of the Grassmann algebra, Arch. Math. (Brno) 52(3) (2016) 141–158.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

January 10, 2017

Submission Date

January 9, 2017

Acceptance Date

-

Published in Issue

Year 2017 Volume: 4 Number: 2 (Special Issue: Noncommutative rings and their applications)

APA
Centrone, L. (2017). On the graded identities of the Grassmann algebra. Journal of Algebra Combinatorics Discrete Structures and Applications, 4(2 (Special Issue: Noncommutative rings and their applications), 165-180. https://doi.org/10.13069/jacodesmath.284959
AMA
1.Centrone L. On the graded identities of the Grassmann algebra. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017;4(2 (Special Issue: Noncommutative rings and their applications):165-180. doi:10.13069/jacodesmath.284959
Chicago
Centrone, Lucio. 2017. “On the Graded Identities of the Grassmann Algebra”. Journal of Algebra Combinatorics Discrete Structures and Applications 4 (2 (Special Issue: Noncommutative rings and their applications): 165-80. https://doi.org/10.13069/jacodesmath.284959.
EndNote
Centrone L (May 1, 2017) On the graded identities of the Grassmann algebra. Journal of Algebra Combinatorics Discrete Structures and Applications 4 2 (Special Issue: Noncommutative rings and their applications) 165–180.
IEEE
[1]L. Centrone, “On the graded identities of the Grassmann algebra”, Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 4, no. 2 (Special Issue: Noncommutative rings and their applications), pp. 165–180, May 2017, doi: 10.13069/jacodesmath.284959.
ISNAD
Centrone, Lucio. “On the Graded Identities of the Grassmann Algebra”. Journal of Algebra Combinatorics Discrete Structures and Applications 4/2 (Special Issue: Noncommutative rings and their applications) (May 1, 2017): 165-180. https://doi.org/10.13069/jacodesmath.284959.
JAMA
1.Centrone L. On the graded identities of the Grassmann algebra. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017;4:165–180.
MLA
Centrone, Lucio. “On the Graded Identities of the Grassmann Algebra”. Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 4, no. 2 (Special Issue: Noncommutative rings and their applications), May 2017, pp. 165-80, doi:10.13069/jacodesmath.284959.
Vancouver
1.Lucio Centrone. On the graded identities of the Grassmann algebra. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017 May 1;4(2 (Special Issue: Noncommutative rings and their applications):165-80. doi:10.13069/jacodesmath.284959

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