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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 ...
Star-group identities and groups of units
(BIRKHAUSER VERLAG AG, 2010)
Analogous to *-identities in rings with involution we define *-identities in groups. Suppose that G is a torsion group with involution * and that F is an infinite field with char F not equal 2. Extend * linearly to FG. We ...
Group identities on symmetric units
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009)
Let F be an infinite field of characteristic different from 2, G a group and * an involution of G extended by linearity to an involution of the group algebra FG. Here we completely characterize the torsion groups G for ...
Identities and isomorphisms of graded simple algebras
(Elsevier Science IncNew YorkEUA, 2010)
2-Graded polynomial identities for the Jordan algebra of the symmetric matrices of order two
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2011)
Graded polynomial identities for the Lie algebra sl(2)(K)
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2008)
From The Ethnic To The Pan-ethnic: Negotiating And Performing Indigenous IdentitiesDo étnico Ao Pan-étnico: Negociando E Performatizando Identidades Indígenas
(Pontificia Universidade Catolica de Sao Paulo, 2016)
Lie Symmetries and Criticality of Semilinear Differential Systems
(Natl Acad Sci Ukraine, Inst MathKyiv 4Ucrânia, 2007)
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 ...
Special identities for Bol algebras
(ELSEVIER SCIENCE INCNEW YORK, 2012)
Bol algebras appear as the tangent algebra of Bol loops. A (left) Bol algebra is a vector space equipped with a binary operation [a, b] and a ternary operation {a, b, c} that satisfy five defining identities. If A is a ...