Centrone, Lucio Attaching a matrix algebra to affine group schemes: polynomial identities. (English) Zbl 07739987 J. Algebra 635, 373-383 (2023). MSC: 16R10 14L15 PDFBibTeX XMLCite \textit{L. Centrone}, J. Algebra 635, 373--383 (2023; Zbl 07739987) Full Text: DOI
Belov, A. Ya.; Centrone, L.; Malev, S. Hilbert series of \(T\)-spaces. (English) Zbl 1526.16019 J. Algebra 628, 350-361 (2023). Reviewer: Wenchao Zhang (Huizhou) MSC: 16R10 PDFBibTeX XMLCite \textit{A. Ya. Belov} et al., J. Algebra 628, 350--361 (2023; Zbl 1526.16019) Full Text: DOI
Centrone, Lucio; Zargeh, Chia Varieties of null-filiform Leibniz algebras under the action of Hopf algebras. (English) Zbl 07679247 Algebr. Represent. Theory 26, No. 2, 631-648 (2023). Reviewer: Serban Raianu (Torrance) MSC: 16R10 16R99 16T05 17A32 17A36 20C30 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{C. Zargeh}, Algebr. Represent. Theory 26, No. 2, 631--648 (2023; Zbl 07679247) Full Text: DOI
Centrone, Lucio; Estrada, Alejandro Specht property for the algebra of upper triangular matrices of size two with a Taft’s algebra action. (English) Zbl 1520.16021 Can. Math. Bull. 66, No. 1, 303-323 (2023). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16R10 16R50 16T05 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{A. Estrada}, Can. Math. Bull. 66, No. 1, 303--323 (2023; Zbl 1520.16021) Full Text: DOI
Centrone, Lucio; Da Silva, Thiago Felipe \(Y\)-proper graded cocharacters of the algebra \(UT_m(F)\) of \(m \times m\) upper triangular matrices over \(F\). (English) Zbl 1517.16019 J. Algebra 618, 96-119 (2023). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R40 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{T. F. Da Silva}, J. Algebra 618, 96--119 (2023; Zbl 1517.16019) Full Text: DOI
Centrone, Lucio; Castilho de Mello, Thiago Images of graded polynomials on matrix algebras. (English) Zbl 1516.16018 J. Algebra 614, 650-669 (2023). Reviewer: Victor Petrogradsky (Brasília) MSC: 16R50 16W50 16R99 16R10 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{T. Castilho de Mello}, J. Algebra 614, 650--669 (2023; Zbl 1516.16018) Full Text: DOI arXiv
Centrone, Lucio; Drensky, Vesselin; Correa, Daniela Martinez Cocharacters of \(UT_n(E)\). arXiv:2301.02566 Preprint, arXiv:2301.02566 [math.RA] (2023). MSC: 16R10 05A15 05E05 05E10 15A75 16R40 20C30 BibTeX Cite \textit{L. Centrone} et al., ``Cocharacters of $UT_n(E)$'', Preprint, arXiv:2301.02566 [math.RA] (2023) Full Text: arXiv OA License
Centrone, Lucio; Diniz, Diogo; Castilho de Mello, Thiago Graded monomial identities and almost non-degenerate gradings on matrices. (English) Zbl 1510.16022 Linear Algebra Appl. 653, 246-265 (2022). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16R50 16W50 16R99 16R10 PDFBibTeX XMLCite \textit{L. Centrone} et al., Linear Algebra Appl. 653, 246--265 (2022; Zbl 1510.16022) Full Text: DOI arXiv
Centrone, Lucio; Estrada, Alejandro; Ioppolo, Antonio On PI-algebras with additional structures: rationality of Hilbert series and Specht’s problem. (English) Zbl 1497.16023 J. Algebra 592, 300-356 (2022). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16R10 16R50 16W55 16T05 PDFBibTeX XMLCite \textit{L. Centrone} et al., J. Algebra 592, 300--356 (2022; Zbl 1497.16023) Full Text: DOI
Centrone, Lucio; da Silva, Viviane Ribeiro Tomaz Graded identities of several tensor products of the Grassmann algebra. (English) Zbl 1509.16021 Algebr. Represent. Theory 24, No. 6, 1441-1458 (2021). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R40 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{V. R. T. da Silva}, Algebr. Represent. Theory 24, No. 6, 1441--1458 (2021; Zbl 1509.16021) Full Text: DOI
Centrone, Lucio; Yasumura, Felipe Actions of Taft’s algebras on finite dimensional algebras. (English) Zbl 1458.16027 J. Algebra 560, 725-744 (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R99 16R10 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{F. Yasumura}, J. Algebra 560, 725--744 (2020; Zbl 1458.16027) Full Text: DOI
Centrone, Lucio; Gonçalves, Dimas José; Couto Silva, Dalton Identities and central polynomials with involution for the Grassmann algebra. (English) Zbl 1452.16024 J. Algebra 560, 219-240 (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R50 16W10 PDFBibTeX XMLCite \textit{L. Centrone} et al., J. Algebra 560, 219--240 (2020; Zbl 1452.16024) Full Text: DOI
Centrone, Lucio; Fındık, Şehmus The Nowicki conjecture for relatively free algebras. (English) Zbl 1454.16029 J. Algebra 552, 68-85 (2020). Reviewer: Victor Petrogradsky (Brasília) MSC: 16R10 16S15 16W25 13N15 13A50 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{Ş. Fındık}, J. Algebra 552, 68--85 (2020; Zbl 1454.16029) Full Text: DOI arXiv
Centrone, Lucio The GK dimension of relatively free algebras of PI-algebras. (English) Zbl 1461.16024 J. Pure Appl. Algebra 223, No. 7, 2977-2996 (2019). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16R10 16P90 16S10 16W50 PDFBibTeX XMLCite \textit{L. Centrone}, J. Pure Appl. Algebra 223, No. 7, 2977--2996 (2019; Zbl 1461.16024) Full Text: DOI
Centrone, Lucio; Martino, Fabrizio; da Silva Souza, Manuela Specht property for some varieties of Jordan algebras of almost polynomial growth. (English) Zbl 1456.17017 J. Algebra 521, 137-165 (2019). Reviewer: Plamen Koshlukov (Campinas) MSC: 17C05 17C50 16W10 16R10 PDFBibTeX XMLCite \textit{L. Centrone} et al., J. Algebra 521, 137--165 (2019; Zbl 1456.17017) Full Text: DOI
Centrone, Lucio; Castilho de Mello, Thiago On the factorization of \(T_G\)-ideals of graded matrix algebras. (English) Zbl 1446.16024 Beitr. Algebra Geom. 59, No. 3, 597-615 (2018). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R40 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{T. Castilho de Mello}, Beitr. Algebra Geom. 59, No. 3, 597--615 (2018; Zbl 1446.16024) Full Text: DOI
Centrone, Lucio On the graded identities of the Grassmann algebra. (English) Zbl 1425.16014 J. Algebra Comb. Discrete Struct. Appl. 4, No. 2, 165-180 (2017). MSC: 16R10 16P90 16S10 16W50 PDFBibTeX XMLCite \textit{L. Centrone}, J. Algebra Comb. Discrete Struct. Appl. 4, No. 2, 165--180 (2017; Zbl 1425.16014)
Centrone, Lucio; da Silva Souza, Manuela On the growth of graded polynomial identities of \(sl_n\). (English) Zbl 1418.17015 Linear Multilinear Algebra 65, No. 4, 752-767 (2017). MSC: 17B01 16P90 16R10 17B70 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{M. da Silva Souza}, Linear Multilinear Algebra 65, No. 4, 752--767 (2017; Zbl 1418.17015) Full Text: DOI arXiv
Centrone, Lucio The \(G\)-graded identities of the Grassmann algebra. (English) Zbl 1374.16042 Arch. Math., Brno 52, No. 3, 141-158 (2016). Reviewer: Vesselin Drensky (Sofia) MSC: 16R10 16P90 16S10 16W50 16R50 15A75 PDFBibTeX XMLCite \textit{L. Centrone}, Arch. Math., Brno 52, No. 3, 141--158 (2016; Zbl 1374.16042) Full Text: DOI
Centrone, Lucio; Gonçalves, Luís Felipe Fonseca On the Z_2-graded codimensions of the Grassmann algebra over a finite field. arXiv:1602.01214 Preprint, arXiv:1602.01214 [math.RA] (2016). MSC: 16R10 16P90 16S10 16W50 BibTeX Cite \textit{L. Centrone} and \textit{L. F. F. Gonçalves}, ``On the Z_2-graded codimensions of the Grassmann algebra over a finite field'', Preprint, arXiv:1602.01214 [math.RA] (2016) Full Text: arXiv OA License
Centrone, Lucio; Ribeiro Tomaz da Silva, Viviane On \(\mathbb Z_2\)-graded identities of \(UT_2(E)\) and their growth. (English) Zbl 1316.16016 Linear Algebra Appl. 471, 469-499 (2015). Reviewer: Victor Petrogradsky (Brasilia) MSC: 16R10 16R50 16P90 15A75 16S50 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{V. Ribeiro Tomaz da Silva}, Linear Algebra Appl. 471, 469--499 (2015; Zbl 1316.16016) Full Text: DOI
Centrone, Lucio; Cirrito, Alessio \(Y\)-proper graded cocharacters of upper triangular matrices of order \(m\) graded by the \(m\)-tuple \(\phi=(0,0,1,\ldots,m-2)\). (English) Zbl 1317.16018 J. Algebra 425, 546-562 (2015). Reviewer: Vesselin Drensky (Sofia) MSC: 16R10 16R50 16S50 16W50 20C30 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{A. Cirrito}, J. Algebra 425, 546--562 (2015; Zbl 1317.16018) Full Text: DOI arXiv
Centrone, Lucio; Castilho de Mello, Thiago On \(\mathbb Z_n\)-graded identities of block-triangular matrices. (English) Zbl 1321.16012 Linear Multilinear Algebra 63, No. 2, 302-313 (2015). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16R10 16W50 16R50 16S50 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{T. Castilho de Mello}, Linear Multilinear Algebra 63, No. 2, 302--313 (2015; Zbl 1321.16012) Full Text: DOI arXiv
Centrone, Lucio \(\mathbb Z_2\)-graded Gelfand-Kirillov dimension of the Grassmann algebra. (English) Zbl 1306.16013 Int. J. Algebra Comput. 24, No. 3, 365-374 (2014). Reviewer: Vesselin Drensky (Sofia) MSC: 16R10 16P90 16R50 15A75 16S10 16R40 PDFBibTeX XMLCite \textit{L. Centrone}, Int. J. Algebra Comput. 24, No. 3, 365--374 (2014; Zbl 1306.16013) Full Text: DOI arXiv
Centrone, Lucio Cocharacters of upper triangular matrices. (English) Zbl 1318.16020 Int. J. Group Theory 2, No. 1, 49-77 (2013). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16-02 16R50 20C30 16S50 05E10 PDFBibTeX XMLCite \textit{L. Centrone}, Int. J. Group Theory 2, No. 1, 49--77 (2013; Zbl 1318.16020)
Centrone, Lucio On some recent results about the Graded Gelfand-Kirillov dimension of graded PI-algebras. (English) Zbl 1374.16043 Serdica Math. J. 38, No. 1-3, 43-68 (2012). Reviewer: Matyas Domokos (Budapest) MSC: 16R10 16P90 16W55 15A75 16-02 PDFBibTeX XMLCite \textit{L. Centrone}, Serdica Math. J. 38, No. 1--3, 43--68 (2012; Zbl 1374.16043) Full Text: Link
Centrone, Lucio; Cirrito, Alessio \(Y\)-proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4. (English) Zbl 1279.16018 J. Algebra 367, 75-94 (2012). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16S50 16W50 20C30 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{A. Cirrito}, J. Algebra 367, 75--94 (2012; Zbl 1279.16018) Full Text: DOI
Centrone, Lucio A note on graded Gelfand-Kirillov dimension of graded algebras. (English) Zbl 1250.16020 J. Algebra Appl. 10, No. 5, 865-889 (2011). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 16R10 16P90 16R50 15A75 16S10 16W50 16S50 PDFBibTeX XMLCite \textit{L. Centrone}, J. Algebra Appl. 10, No. 5, 865--889 (2011; Zbl 1250.16020) Full Text: DOI
Centrone, Lucio The graded Gelfand-Kirillov dimension of verbally prime algebras. (English) Zbl 1248.16021 Linear Multilinear Algebra 59, No. 12, 1433-1450 (2011). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 16R10 16P90 16R50 15A75 16S10 16W50 PDFBibTeX XMLCite \textit{L. Centrone}, Linear Multilinear Algebra 59, No. 12, 1433--1450 (2011; Zbl 1248.16021) Full Text: DOI
Centrone, Lucio Ordinary and \(\mathbb Z_2\)-graded cocharacters of \(UT_2(E)\). (English) Zbl 1232.16012 Commun. Algebra 39, No. 7, 2554-2572 (2011). Reviewer: Vesselin Drensky (Sofia) MSC: 16R10 15A75 20C30 16R50 16W50 PDFBibTeX XMLCite \textit{L. Centrone}, Commun. Algebra 39, No. 7, 2554--2572 (2011; Zbl 1232.16012) Full Text: DOI arXiv
Centrone, Lucio \(\mathbb Z_2\)-graded identities of the Grassmann algebra in positive characteristic. (English) Zbl 1230.16019 Linear Algebra Appl. 435, No. 12, 3297-3313 (2011). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 15A75 16R50 16W55 16W50 PDFBibTeX XMLCite \textit{L. Centrone}, Linear Algebra Appl. 435, No. 12, 3297--3313 (2011; Zbl 1230.16019) Full Text: DOI