Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Willian Franca"'
Autor:
Willian Franca, Luiza A. Moraes
Publikováno v:
Archiv der Mathematik. 118:529-537
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::679a41fe6d2cf959dad00448955ec3c9
https://doi.org/10.1007/s00013-022-01713-5
https://doi.org/10.1007/s00013-022-01713-5
Autor:
Magno Branco Alves, Willian Franca
Publikováno v:
Linear and Multilinear Algebra. 70:4191-4213
In the present paper, we will characterize linear maps of M n ( F ) , the ring of all n × n matrices over an algebraically closed field F of characteristic zero, which preserve the set of all algeb...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c23a23996ee26403a718200e5575b44c
https://doi.org/10.1080/03081087.2021.1873228
https://doi.org/10.1080/03081087.2021.1873228
Publikováno v:
Operators and Matrices. :175-193
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24e9e43b500735c44dd9f868e58d1170
https://doi.org/10.7153/oam-2021-15-13
https://doi.org/10.7153/oam-2021-15-13
Autor:
Willian Franca, V. A. Menegatto
Publikováno v:
Mathematical Inequalities & Applications. :1135-1148
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a60c769153406fa7471c60425e209734
https://doi.org/10.7153/mia-2021-24-79
https://doi.org/10.7153/mia-2021-24-79
Publikováno v:
Linear and Multilinear Algebra. 70:3643-3659
Let U T m be the algebra of all m × m upper triangular matrices over a field F whose characteristic is different from 2. Given an involution ∗ of the first kind on U T m , we will obtain the minima...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50bb711689870d42d377cff0eb8e7337
https://doi.org/10.1080/03081087.2020.1849006
https://doi.org/10.1080/03081087.2020.1849006
Autor:
Nelson Louza, Willian Franca
Publikováno v:
Electronic Journal of Linear Algebra. 35:533-542
Let Mn(K) be the ring of all n × n matrices over a field K. In the present paper, additive mappings G : Mn(K) → Mn(K) such that [[G(y), y], y] = 0 for all singular matrix y will be characterized. Precisely, it will be proved that G(x) = λx + µ(x
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::254d5aae05ed096fffcf170ab9ed8c6a
https://doi.org/10.13001/1081-3810.4066
https://doi.org/10.13001/1081-3810.4066
Autor:
Willian Franca
Publikováno v:
Communications in Algebra. 46:2890-2898
Let R be a unital simple ring. Under some technical restrictions, we characterize m-linear mappings G:Rm→R satisfying [G(u,…,u),u] = 0 for all unit u∈R.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e7265033eeddff83d17a97d7be65d23
https://doi.org/10.1080/00927872.2017.1404087
https://doi.org/10.1080/00927872.2017.1404087
Autor:
Willian Franca, Nelson Louza
Publikováno v:
Communications in Algebra. 45:4696-4706
Let n≥3 be a natural number. Let Mn(𝔻) be the ring of all n×n matrices over a noncommutative division ring 𝔻. In the present paper, we will find the description of all additive mappings G:Mn(𝔻)→Mn(𝔻) such that [G(y),y] = G(y)y−yG(y
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6581bba4bf09adc43c6b01fe30b3e490
https://doi.org/10.1080/00927872.2016.1278010
https://doi.org/10.1080/00927872.2016.1278010
Autor:
Willian Franca
Publikováno v:
Linear and Multilinear Algebra. 65:475-495
Let be a natural number. Let be the ring of all matrices over an arbitrary field . In the present paper, we will find the description of all additive mappings such that for all , where ( and are matrices units). As an application we will characterize
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f991029e05fc9a22a9d7bb7723e45495
https://doi.org/10.1080/03081087.2016.1192576
https://doi.org/10.1080/03081087.2016.1192576
Autor:
Willian Franca
Publikováno v:
Operators and Matrices. :305-310
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ace2bd27d16b4613a607a6dca81421b3
https://doi.org/10.7153/oam-09-17
https://doi.org/10.7153/oam-09-17