Special radicals in structural matrix rings
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Publication:3781879
DOI10.1080/00927878808823578zbMath0641.16015OpenAlexW2168383718MaRDI QIDQ3781879
Publication date: 1988
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927878808823578
prime idealsBoolean matrixstructural matrix ringsspecial radicalsspecial class of ringsantisymmetric radical
Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30) Modules, bimodules and ideals in associative algebras (16Dxx) Radicals and radical properties of associative rings (16Nxx)
Related Items (28)
The general radical theory of incidence algebras ⋮ Link between a natural centralizer and the smallest essential ideal in structural matrix rings ⋮ Convolution Rings ⋮ Prime ideals in incidence algebras ⋮ The 2-primitive ideals of structural matrix near-rings ⋮ On the radicals of structural matrix rings ⋮ Polynomial regularities in structural matrix rings ⋮ Lie solvability and the identity \([x_{1},y_{1}[x_{2},y_{2}]\cdots[x_{q},y_{q}]=0\) in certain matrix algebras] ⋮ The \(J_ 2\)-radical in structural matrix near-rings ⋮ RADICALS OF STRUCTURAL MATRIX RINGS ⋮ On a characterization of complete matrix rings ⋮ A note on intermediate normalising extensions ⋮ The -radical in structural matrix near rings, II ⋮ On p.p. structural matrix rings. ⋮ Frobenius structural matrix algebras. ⋮ Do isomorphic structural matrix rings have isomorphic graphs? ⋮ Lie solvability in matrix algebras ⋮ Left Self Distributively Generated Structural Matrix Rings ⋮ Jordan isomorphisms of generalized structural matrix rings ⋮ Solution of the ℐ2-radical problem in structural matrix near-rings ⋮ On ideals of triangular matrix rings. ⋮ Algebraic radicals and incidence algebras ⋮ Matrix rings satisfying column sum conditions versus structural matrix rings ⋮ Complete blocked triangular matrix rings over a Noetherian ring ⋮ Chain Conditions on Convolution Rings ⋮ Forcing linearity numbers for modules over rings with nontrivial idempotents ⋮ GOOD IDEALS IN MATRIX RINGS OVER COMMUTATIVE PIR's ⋮ On the maximal Kurosh-Amitsur model for the Wedderburn-Artin radical
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