Do isomorphic structural matrix rings have isomorphic graphs?
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Publication:4875603
DOI10.1090/S0002-9939-96-03172-3zbMath0848.16022MaRDI QIDQ4875603
Sorin Dascalescu, Leon van Wyk
Publication date: 24 October 1996
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Boolean matricesstructural matrix ringsisomorphism-typesemi-prime left Noetherian ringstiled subrings
Endomorphism rings; matrix rings (16S50) Prime and semiprime associative rings (16N60) Commutative Noetherian rings and modules (13E05) Algebraic systems of matrices (15A30) Noetherian rings and modules (associative rings and algebras) (16P40)
Related Items (17)
Link between a natural centralizer and the smallest essential ideal in structural matrix rings ⋮ Isomorphisms between Morita context rings ⋮ Lie solvability and the identity \([x_{1},y_{1}[x_{2},y_{2}]\cdots[x_{q},y_{q}]=0\) in certain matrix algebras] ⋮ On a characterization of complete matrix rings ⋮ Automorphism groups of generalized triangular matrix rings. ⋮ On p.p. structural matrix rings. ⋮ Unnamed Item ⋮ Lie solvability in matrix algebras ⋮ Subrings which are closed with respect to taking the inverse. ⋮ Induced good gradings of structural matrix rings ⋮ Generalized blocked triangular matrix rings associated with finite abelian centralizer near-rings ⋮ Directed graphs and Lie superalgebras of matrices ⋮ On ideals of triangular matrix rings. ⋮ Invertibility and Dedekind finiteness in structural matrix rings ⋮ Classifying good gradings on structural matrix algebras ⋮ OPTIMIZATION OF MATRIX SEMIRINGS FOR CLASSIFICATION SYSTEMS ⋮ Complete blocked triangular matrix rings over a Noetherian ring
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