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POLYNOMIAL AND GROUP IDENTITIES IN ALTERNATIVE LOOP ALGEBRAS
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2008)
We investigate polynomial identities on an alternative loop algebra and group identities on its (Moufang) unit loop. An alternative loop ring always satisfies a polynomial identity, whereas whether or not a unit loop ...
Tensor product theorems in positive characteristic
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2004)
Graded identities and PI equivalence of algebras in positive characteristic
(Taylor & Francis IncPhiladelphiaEUA, 2005)
Graded central polynomials for the matrix algebra of order two
(Springer WienWienAustria, 2009)
Identities and isomorphisms of graded simple algebras
(Elsevier Science IncNew YorkEUA, 2010)
Graded identities for the algebra of n x n upper triangular matrices over an infinite field
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2003)
Ideals of identities of representations of nilpotent Lie algebras
(Marcel Dekker IncNew YorkEUA, 2000)
POLYNOMIAL IDENTITIES OF FINITE DIMENSIONAL SIMPLE ALGEBRAS
(TAYLOR & FRANCIS INC, 2011)
Let F be an algebraically closed field and let A and B be arbitrary finite dimensional simple algebras over F. We prove that A and B are isomorphic if and only if they satisfy the same identities.
Polynomial identities for the ternary cyclic sum
(TAYLOR & FRANCIS LTD, 2009)
We simplify the results of Bremner and Hentzel [J. Algebra 231 (2000) 387-405] on polynomial identities of degree 9 in two variables satisfied by the ternary cyclic sum [a, b, c] abc + bca + cab in every totally associative ...
Central polynomials in the matrix algebra of order two
(Elsevier Science IncNew YorkEUA, 2004)