Results 11 to 20 of about 216,282 (303)
Derived equivalences between generalized matrix algebras [PDF]
Czechoslovak Mathematical Journal, 2019 For an algebra \(A\), \(\mathcal{D}(A)\) denotes the derived category of modules of \(A\). Let \(A_{i}\) (\(1\leq i\leq n\)) be a family of \(K\)-algebras and \(M_{ij}\) (\(1\leq i\leq n\), \(1\leq j\leq n\)) a family of \(A_{i}\)-\(A_{j}\)-bimodules such that \(M_{ii}=A_{i}\) for all \(i\), and let \(\Lambda\) the generalized matrix algebra \(\begin ...
Chen, QingHua, Liu, HongJin
semanticscholar +4 more sources
k-commuting mappings of generalized matrix algebras [PDF]
Periodica Mathematica Hungarica, 2018 28 ...
Li, Yanbo, Wei, Feng, Fošner, Ajda
openaire +4 more sources
Generalized Matrix Algebras [PDF]
Canadian Journal of Mathematics, 1955 The algebras considered here arose in the investigation of an algebra connected with the orthogonal group. We consider an algebra of dimension mn over a field K of characteristic zero, and possessing a basis {eij} (1 ≤ i ≤ m; 1 ≤ j ≤ n) with the multiplication property1,The field elements ϕij form a matrix Φ = (ϕij) of order n × m.
W. P. Brown
openaire +3 more sources
Biderivations of generalized matrix algebras
Linear Algebra and its Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Du, Yiqiu, Wang, Yu
openaire +2 more sources
Lie derivations of generalized matrix algebras
Linear Algebra and its Applications, 2012 \textit{W.-S. Cheung} [in J. Lond. Math. Soc., II. Ser. 63, No. 1, 117-127 (2001; Zbl 1014.16035)] initiated the study of mapping problems on triangular algebras. The Lie derivations of triangular algebras were investigated by \textit{W.-S. Cheung} [Linear Multilinear Algebra 51, No. 3, 299-310 (2003; Zbl 1060.16033)]. Recently, \textit{P.
Wang, Y, Du, Y
openaire +4 more sources
Structural matrix algebras, generalized flags, and gradings [PDF]
Transactions of the American Mathematical Society, 2020 We show that a structural matrix algebra A A is isomorphic to the endomorphism algebra of an algebraic-combinatorial object called a generalized flag. If the flag is equipped with a group grading, an algebra grading is induced on A A .
Beşleagă, F., Dăscălescu, S.
openaire +4 more sources
More on Lie derivations of a generalized matrix algebra [PDF]
Miskolc Mathematical Notes, 2018 11 ...
Ebrahimi Vishki, Hamid Reza +1 more
openaire +5 more sources
Commuting mappings of generalized matrix algebras
Linear Algebra and its Applications, 2010 W. S. Cheung initiated the study of commuting mappings of matrix algebras, by determining the class of triangular algebras for which every commuting linear mapping is proper. This pacer extends the main results obtained by \textit{W. S. Cheung} [J. Lond. Math. Soc., II. Ser. 63, No.
Xiao, Zhankui, Wei, Feng
openaire +2 more sources
Additivity of maps on generalized matrix algebras [PDF]
The Electronic Journal of Linear Algebra, 2011 In this paper, it is proven that every multiplicative bijective map, Jordan bijective map, Jordan triple bijective map on generalized matrix algebras is additive.
Yanbo Li, Zhankui Xiao
openaire +2 more sources
Multiplicative Lie n -derivations of generalized matrix algebras
Linear Algebra and its Applications, 2013 A nonlinear Lie \(n\)-derivation of an algebra \(A\) is a (not necessarily linear) map of \(A\) that acts as a derivation on the polynomial \([[\cdots[x_1,x_2],\dots],x_n]\). The main result states that a nonlinear Lie \(n\)-derivation of a generalized matrix algebra is, under certain technical assumptions, the sum of an (additive) derivation and a map
Wang, Yao, Wang, Yu
openaire +3 more sources