Minimal supervarieties with factorable ideal of graded polynomial identities

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• 作者：Onofrio Mario Di Vincenzo^a ; ^{onofrio.divincenzo@unibas.it" class="auth_mail" title="E-mail the corresponding author} ; Viviane Ribeiro Tomaz da Silva^b ; ^{viviane@mat.ufmg.br" class="auth_mail" title="E-mail the corresponding author} ; Ernesto Spinelli^c ; ^{spinelli@mat.uniroma1.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：16R10 ; 16R50 ; 16W55
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：220
• 期：4
• 页码：1316-1330
• 全文大小：397 K

文摘

Given a minimal superalgebra A=A_ss⊕J(A)$A=A_{ss}\oplus J(A)$, any subsequence of the graded simple summands of A_ss$A_{ss}$ determines a homogeneous subalgebra of A   which is still a minimal superalgebra. In the present paper we provide a sufficient condition so that the T_Z2$T_{{\mathbb{Z}}_2}$-ideal of graded polynomial identities satisfied by A   factorizes as the product of the T_Z2$T_{{\mathbb{Z}}_2}$-ideals associated to its suitable homogeneous subalgebras of such a type. We use this fact to show that in this event A generates a minimal supervariety of fixed superexponent.