On Rings for which Homogeneous Maps are Linear

DOI10.2307/2048473zbMath0728.16016OpenAlexW4241778436MaRDI QIDQ3351545

P. R. Fuchs, Günter Pilz, Carlton J. Maxson

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2048473

zbMATH Keywords

idempotentsnear-ringsR-endomorphisms

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Associative rings of functions, subdirect products, sheaves of rings (16S60) Automorphisms and endomorphisms (16W20) Near-rings (16Y30)

Related Items (20)

Forcing linearity numbers for projective modules ⋮ Differential operator rings for which homogeneous functions are linear ⋮ Cryptographic algorithms on groups and algebras ⋮ Rings of homogeneous functions ⋮ On a characterization of complete matrix rings ⋮ A link between two characterisations of complete matrix rings ⋮ Forcing linearity numbers for modules over simple domains. ⋮ Torsion-free Abelian groups of finite rank as endomorphic modules over their endomorphism ring. ⋮ Homogeneous maps of Abelian groups. ⋮ Recognition and computations of matrix rings ⋮ Near-Rings Associated with Matched Pairs on Ring Modules ⋮ When are homogeneous functions linear? A lattice point of view. ⋮ Endomorphism of abelian groups as modules over their endomorphism rings ⋮ Separable torsion-free modules with UA-rings of endomorphisms. ⋮ Commutators and Anti-Commutators of Idempotents in Rings ⋮ Homogeneous maps and divisorial ideals ⋮ Endomorphisms and distributive elements in near-rings determined by rings and modules ⋮ Forcing linearity numbers for modules over rings with nontrivial idempotents ⋮ Homogeneous functions of modules over local rings. II ⋮ A CHARACTERISATION OF MATRIX RINGS

Cites Work

• Triality and Lie algebras of type \(D_4\)
• Simple Near-Ring Centralizers of Finite Rings
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