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Linear and Multilinear Algebra Volume 67, 2019 - Issue 10
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Articles

Classifying good gradings on structural matrix algebras

F. Beşleagă Faculty of Mathematics and Computer Science, University of Bucharest , Bucharest, Romania.View further author information
,
S. Dăscălescu Faculty of Mathematics and Computer Science, University of Bucharest , Bucharest, Romania.View further author information
&
L. Van Wyk Department of Mathematical Sciences (Mathematics Division), Stellenbosch University , Stellenbosch, South Africa.Correspondence[email protected]
View further author information
Pages 1948-1957 | Received 22 Mar 2018, Accepted 09 May 2018, Published online: 23 May 2018

References

  • Bahturin YuA , Sehgal SK , Zaicev MV . Group gradings on associative algebras. J Algebra. 2001;241:677–698.
  • Valenti A , Zaicev M . Abelian gradings on upper block triangular matrices. Canad Math Bull. 2012;55:208–213.
  • Dăscălescu S , van Wyk L . Do isomorphic structural matrix rings have isomorphic graphs? Proc Am Math Soc. 1996;124:1385–1391.
  • Spiegel E , O’Donnell CJ . Incidence algebras. Vol. 206, Monographs and textbooks in pure and applied mathematics. New York (NY): Marcel Dekker; 1997.
  • Beşleagă F , Dăscălescu S . Structural matrix algebras, generalized flags and gradings. arxiv: RA/1802.03427.
  • Coelho SP . The automorphism group of a structural matrix algebra. Linear Algebra Appl. 1993;195:35–58.
  • Szigeti J , van Wyk L . Subrings which are closed with respect to taking the inverse. J Algebra. 2007;318:1068–1076.
  • Foldes S , Szigeti J , van Wyk L . Invertibility and Dedekind finiteness in structural matrix rings. Linear Multilinear Algebra. 2011;59:221–227.
  • Năstăsescu C , van Oystaeyen F . Methods of graded rings. Vol. 1836, Lecture notes in mathematics. Berlin: Springer Verlag; 2004.
  • Nowicki A . Derivations of special subrings of matrix rings and regular graphs. Tsukuba J Math. 1983;7:281–297.
  • Di Vincenzo OM , Koshlukov P , Valenti A . Gradings on the algebra of upper triangular matrices and their graded identities. J Algebra. 2004;275:550–566.
  • Bărăscu M , Dăscălescu S . Good gradings on upper block triangular matrix algebras. Commun Algebra. 2013;41:4290–4298.

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