Displaying similar documents to “Some equations in algebras obtained by the Cayley-Dickson process.”

Companion d -algebras

Paul J. Allen, Hee Sik Kim, Joseph Neggers (2007)

Mathematica Slovaca

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Full matrix algebras with structure systems

Hisaaki Fujita (2003)

Colloquium Mathematicae

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We study associative, basic n × n𝔸-full matrix algebras over a field, whose multiplications are determined by structure systems 𝔸, that is, n-tuples of n × n matrices with certain properties.

Free Bicommutative Algebras

Dzhumadil'daev, A. S., Ismailov, N. A., Tulenbaev, K. M. (2011)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: Primary 17A50, Secondary 16R10, 17A30, 17D25, 17C50. Algebras with identities a(bc)=b(ac), (ab)c=(ac)b is called bicommutative. Bases and the cocharacter sequence for free bicommutative algebras are found. It is shown that the exponent of the variety of bicommutaive algebras is equal to 2.