Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Dimas José Gonçalves"'
Publikováno v:
Linear Algebra and its Applications. 664:104-125
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::85cc05ecf7bd581c8112efa50c78912a
https://doi.org/10.1016/j.laa.2023.01.015
https://doi.org/10.1016/j.laa.2023.01.015
Publikováno v:
Journal of Algebra. 593:477-506
Let K be a field (finite or infinite) of char ( K ) ≠ 2 and let U T 2 ( K ) be the 2 × 2 upper triangular matrix algebra over K. If ⋅ is the usual product on U T 2 ( K ) then with the new product a ∘ b = ( 1 / 2 ) ( a ⋅ b + b ⋅ a ) we have
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e4f2074066cdbd7e055dd79e769203a
https://doi.org/10.1016/j.jalgebra.2021.11.020
https://doi.org/10.1016/j.jalgebra.2021.11.020
Autor:
Evandro Riva, Dimas José Gonçalves
Publikováno v:
Journal of Algebra. 559:625-645
Let K be a finite field and let U T n ( K ) be the algebra of n × n upper triangular matrices over K . In this paper we describe the set of all G-graded polynomial identities of U T n ( K ) , where G is any group. Moreover, we describe a linear basi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::85a85168dd349d25a9a9e3d12a61f895
https://doi.org/10.1016/j.jalgebra.2020.05.008
https://doi.org/10.1016/j.jalgebra.2020.05.008
Publikováno v:
Journal of Algebra. 560:219-240
Let E be the infinite dimensional Grassmann algebra over an infinite field of characteristic p different from 2. Given an involution φ on E, denote by I d ( E , φ ) and C ( E , φ ) the set of all ⁎-polynomial identities and ⁎-central polynomia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::910a91fb332fbf43af44acd7e53c3501
https://doi.org/10.1016/j.jalgebra.2020.05.019
https://doi.org/10.1016/j.jalgebra.2020.05.019
Publikováno v:
Linear Algebra and its Applications. 585:24-44
In this paper we classify the ordinary and graded involutions on block-triangular matrix algebras over an algebraically closed field of characteristic ≠2.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::027754c4fe7c6e9eda98166458fca18c
https://doi.org/10.1016/j.laa.2019.09.023
https://doi.org/10.1016/j.laa.2019.09.023
Publikováno v:
Linear and Multilinear Algebra. 69:1889-1901
Let F be a field of characteristic different from 2, and let UT2(F) be the algebra of 2×2 upper triangular matrices over F. For every involution of the first kind on UT2(F), we describe the set of ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c6590ef97d06ea4f2f7fb5047f0ddc6a
https://doi.org/10.1080/03081087.2019.1648374
https://doi.org/10.1080/03081087.2019.1648374
Publikováno v:
Linear Algebra and its Applications. 544:223-253
Let U T 2 ( F ) be the 2 × 2 upper triangular matrices algebra over a finite field F of characteristic different from 2. For every involution of the first kind of U T 2 ( F ) we describe the set of all ⁎-polynomial identities for this algebra.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::651429c4215083727ad4c338706379fa
https://doi.org/10.1016/j.laa.2018.01.007
https://doi.org/10.1016/j.laa.2018.01.007
Publikováno v:
International Journal of Algebra and Computation. 26:1617-1631
Let [Formula: see text] be a field of characteristic 0 and let [Formula: see text]. The algebra [Formula: see text] admits a natural grading [Formula: see text] by the cyclic group [Formula: see text] of order 2. In this paper, we describe the [Formu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75d99cc9b9a29c56264b90043a035975
https://doi.org/10.1142/s0218196716500715
https://doi.org/10.1142/s0218196716500715
Publikováno v:
Communications in Algebra. 44:2583-2591
Let 𝔽 be the field ℝ or ℂ, and let 𝔽 ⟨ X ⟩ be the free associative algebra generated by the infinite set X. If f ∈ 𝔽 ⟨ X ⟩, define its norm ‖f‖ as the sum of the absolute value of its coefficients. We describe the ideals of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2ae3655a1c09bf9397818175a4476c4b
https://doi.org/10.1080/00927872.2015.1065837
https://doi.org/10.1080/00927872.2015.1065837
Publikováno v:
Archiv der Mathematik. 106:417-429
Let K be an algebraically closed field of characteristic zero. We prove that the minimum degree for A-identities of \({M_{2}(K)}\) is 6. We also construct an explicit A-polynomial of degree 6 and prove it is an A-identity.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a766db837414a17c295c0049fbe53039
https://doi.org/10.1007/s00013-016-0882-6
https://doi.org/10.1007/s00013-016-0882-6