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Articles

Identities of *-superalgebras and almost polynomial growth

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Pages 484-501 | Received 17 Apr 2015, Accepted 06 May 2015, Published online: 03 Jun 2015

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T. S. do Nascimento & A. C. Vieira. (2019) Superalgebras with graded involution and star-graded colength bounded by 3. Linear and Multilinear Algebra 67:10, pages 1999-2020.
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Luís Felipe Gonçalves Fonseca, Rafael Bezerra dos Santos & Ana Cristina Vieira. (2016) Characterizations of *-superalgebras of polynomial growth. Linear and Multilinear Algebra 64:7, pages 1379-1389.
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Ginevra Giordani. On superalgebras with pseudoautomorphism of polynomial codimension growth. Communications in Algebra 0:0, pages 1-12.
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L. M. C. Oliveira, R. B. dos Santos & A. C. Vieira. (2021) Varieties of Group Graded Algebras with Graded Involution of Almost Polynomial Growth. Algebras and Representation Theory 26:3, pages 663-677.
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Fabrizio Martino & Carla Rizzo. (2022) Differential identities and varieties of almost polynomial growth. Israel Journal of Mathematics 254:1, pages 243-274.
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J.P. Cruz, R.B. dos Santos & A.C. Vieira. (2022) Identities and cocharacters of the algebra of 3 × 3 matrices with non-trivial grading and transpose graded involution. Linear Algebra and its Applications 652, pages 173-195.
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F. S. Benanti & A. Valenti. (2022) *-Graded Capelli polynomials and their asymptotics. International Journal of Algebra and Computation 32:06, pages 1179-1202.
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Onofrio Mario Di Vincenzo, Viviane Ribeiro Tomaz da Silva & Ernesto Spinelli. (2022) On the factorability of the ideal of ⁎-graded polynomial identities of minimal varieties of PI ⁎-superalgebras. Journal of Algebra 589, pages 273-286.
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W.D.S. Costa, A. Ioppolo, R.B. dos Santos & A.C. Vieira. (2021) Unitary superalgebras with graded involution or superinvolution of polynomial growth. Journal of Pure and Applied Algebra 225:9, pages 106666.
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A. Ioppolo, R.B. dos Santos, M.L.O. Santos & A.C. Vieira. (2021) Superalgebras with graded involution: Classifying minimal varieties of quadratic growth. Linear Algebra and its Applications 621, pages 105-134.
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Fabrizio Martino. (2020) Classifying Algebras with Graded Involutions or Superinvolutions with Multiplicities of their Cocharacter Bounded by One. Algebras and Representation Theory 24:2, pages 317-326.
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Antonio Ioppolo & Fabrizio Martino. (2021) On multiplicities of cocharacters for algebras with superinvolution. Journal of Pure and Applied Algebra 225:3, pages 106536.
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Onofrio Mario Di Vincenzo, Viviane Ribeiro Tomaz da Silva & Ernesto Spinelli. (2021) Minimal varieties of PI-superalgebras with graded involution. Israel Journal of Mathematics 241:2, pages 869-909.
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Antonio Ioppolo, Plamen Koshlukov & Daniela La Mattina. (2021) Trace identities and almost polynomial growth. Journal of Pure and Applied Algebra 225:2, pages 106501.
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Dafne Bessades, Rafael Bezerra dos Santos & Ana Cristina Vieira. 2021. Polynomial Identities in Algebras. Polynomial Identities in Algebras 25 36 .
Antonio Ioppolo, Plamen Koshlukov & Daniela La Mattina. 2021. Polynomial Identities in Algebras. Polynomial Identities in Algebras 211 225 .
Antonio Ioppolo. (2020) Superalgebras with superinvolution or graded involution with colengths sequence bounded by 3. International Journal of Algebra and Computation 30:04, pages 821-838.
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Antonio Ioppolo. (2020) Some results concerning the multiplicities of cocharacters of superalgebras with graded involution. Linear Algebra and its Applications 594, pages 51-70.
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Carla Rizzo. (2020) Algebras with involution and multiplicities bounded by a constant. Journal of Algebra 547, pages 556-578.
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Antonio Giambruno, Antonio Ioppolo & Daniela La Mattina. (2018) Superalgebras with Involution or Superinvolution and Almost Polynomial Growth of the Codimensions. Algebras and Representation Theory 22:4, pages 961-976.
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Rafael Bezerra dos Santos. (2017) ⁎-Superalgebras and exponential growth. Journal of Algebra 473, pages 283-306.
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