Functional identities on upper triangular matrix rings
Let R be a subset of a unital ring Q such that 0 ∈ R. Let us fix an element t ∈ Q. If R is a (t; d)-free subset of Q, then Tn(R) is a (t′; d)-free subset of Tn(Q), where t′ ∈ Tn(Q), tll′$\begin{array}{} t_{ll}' \end{array} $ = t, l = 1, 2, …, n, for any n ∈ N.
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De Gruyter
2020-03-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2020-0018 |
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doaj-64b0ccd13647463bb843b2377e32d53d2021-09-06T19:20:12ZengDe GruyterOpen Mathematics2391-54552020-03-0118118219310.1515/math-2020-0018math-2020-0018Functional identities on upper triangular matrix ringsYuan He0Chen Liangyun1Department of Mathematics, Jilin Normal University, Siping, 136000, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, ChinaLet R be a subset of a unital ring Q such that 0 ∈ R. Let us fix an element t ∈ Q. If R is a (t; d)-free subset of Q, then Tn(R) is a (t′; d)-free subset of Tn(Q), where t′ ∈ Tn(Q), tll′$\begin{array}{} t_{ll}' \end{array} $ = t, l = 1, 2, …, n, for any n ∈ N.https://doi.org/10.1515/math-2020-0018functional identity(t; d)-free subsetupper triangular matrix ring16r6016s50 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yuan He Chen Liangyun |
| spellingShingle |
Yuan He Chen Liangyun Functional identities on upper triangular matrix rings Open Mathematics functional identity (t; d)-free subset upper triangular matrix ring 16r60 16s50 |
| author_facet |
Yuan He Chen Liangyun |
| author_sort |
Yuan He |
| title |
Functional identities on upper triangular matrix rings |
| title_short |
Functional identities on upper triangular matrix rings |
| title_full |
Functional identities on upper triangular matrix rings |
| title_fullStr |
Functional identities on upper triangular matrix rings |
| title_full_unstemmed |
Functional identities on upper triangular matrix rings |
| title_sort |
functional identities on upper triangular matrix rings |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2020-03-01 |
| description |
Let R be a subset of a unital ring Q such that 0 ∈ R. Let us fix an element t ∈ Q. If R is a (t; d)-free subset of Q, then Tn(R) is a (t′; d)-free subset of Tn(Q), where t′ ∈ Tn(Q), tll′$\begin{array}{}
t_{ll}'
\end{array} $ = t, l = 1, 2, …, n, for any n ∈ N. |
| topic |
functional identity (t; d)-free subset upper triangular matrix ring 16r60 16s50 |
| url |
https://doi.org/10.1515/math-2020-0018 |
| work_keys_str_mv |
AT yuanhe functionalidentitiesonuppertriangularmatrixrings AT chenliangyun functionalidentitiesonuppertriangularmatrixrings |
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1717777070056013824 |