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Group algebras whose units satisfy a laurent polynomial identity
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)
Graded identities of block-triangular matrices
(Academic Press Inc Elsevier Science, 2016)
Let F be an infinite field and UT(d(1),..., d(n)) be the algebra of upper block-triangular matrices over F. In this paper we describe a basis for the C-graded polynomial identities of UT(d(1),..., d(n)), with an elementary ...
Álgebras de Hopf, objetos galois e identidades polinomiais
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2018-02-21)
Our main goal is to study Hopf algebras and Galois objects, from the point of view of the polynomial identities, more precisely how these objects are distinguished by their polynomial H-identities. To this end we follow ...
Ideals of identities of representations of nilpotent Lie algebras
(Marcel Dekker IncNew YorkEUA, 2000)