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Conservative algebras of 2-dimensional a...

Kaygorodov, Ivan...

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Conservative algebras of 2-dimensional algebras, II by Kaygorodov, Ivan ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	08-07-2015
Summary	In 1990 Kantor defined the conservative algebra W(n) of all algebras (i.e. bilinear maps) on the n-dimensional vector space. If n>1, then the algebra W(n) does not belong to any well-known class of algebras (such as associative, Lie, Jordan, or Leibniz algebras). We describe automorphisms, one-sided ideals, and idempotents of W(2). Also similar problems are solved for the algebra W2 of all commutative algebras on the 2-dimensional vector space and for the algebra S2 of all commutative algebras with trace zero multiplication on the 2-dimensional vector space.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/1507.02324

Citation

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AMA 11th EditionReferences

Kaygorodov, Ivan. Conservative algebras of 2-dimensional algebras, II. N.A. July 08, 2015. Accessed August 18, 2025. https://online.provdatabase.com/cite/18761

APA 7th EditionReferences

Kaygorodov, Ivan. (2015). Conservative algebras of 2-dimensional algebras, II. N.A. https://online.provdatabase.com/cite/18761

Chicago 17th EditionReferences

Kaygorodov, Ivan. Conservative algebras of 2-dimensional algebras, II. N.A. 2015. https://online.provdatabase.com/cite/18761

HarvardReferences

Kaygorodov, Ivan. (2015). Conservative algebras of 2-dimensional algebras, II. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18761. (Accessed 18 August 2025).

Harvard AustraliaReferences

Kaygorodov, Ivan, 2015, Conservative algebras of 2-dimensional algebras, II, N.A, viewed 18 August 2025, <https://online.provdatabase.com/cite/18761>

MLA 9th EditionWorks Cited

Kaygorodov, Ivan. Conservative algebras of 2-dimensional algebras, II. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18761.

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