2019
DOI: 10.1016/j.jalgebra.2018.11.017
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Specht property for some varieties of Jordan algebras of almost polynomial growth

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Cited by 18 publications
(7 citation statements)
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“…We already have the key ingredients to prove the main result of this section. We want to highlight that we are going to use the algorithm described in full details in the paper [13].…”
Section: Andmentioning
confidence: 99%
“…We already have the key ingredients to prove the main result of this section. We want to highlight that we are going to use the algorithm described in full details in the paper [13].…”
Section: Andmentioning
confidence: 99%
“…Its polynomial identities, even the ordinary ones, are known only for triangular matrices of size 2 [9,8]. Moreover the Specht property for the corresponding ideals of graded identities is obtained for the same algebra of size 2, for all gradings [2]. Thus for the Jordan case, which is otherwise natural, we have much less information about its polynomial identities.…”
Section: Introductionmentioning
confidence: 99%
“…In [18] and [3] the authors studied graded identities for U J 2 , the Jordan algebra of 2 ˆ2 upper triangular matrices. In [4] it was shown that the variety generated by U J 2 has the Specht property when it is graded by any finite abelian group. In [19] the graded identities for any Z 2 -grading on the Jordan algebra of symmetric matrices of order two were obtained, and in [29] the Specht property for the finite dimensional Jordan algebra of a non-degenerate symmetric bilinear form, graded by Z 2 , in characteristic 0, was established.…”
Section: Introductionmentioning
confidence: 99%