Forcing linearity numbers

DOI10.1006/jabr.1999.7991zbMath0953.16034OpenAlexW2037146875MaRDI QIDQ1969123

Yanyan Li

Publication date: 28 August 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.7991

zbMATH Keywords

vector spaceslocal linearitymodules over integral domainsmodules over local ringsforcing linearity numbers

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Near-rings (16Y30)

Related Items (12)

Forcing linearity numbers for projective modules ⋮ Forcing Linearity Numbers for Abelian Groups ⋮ Forcing linearity numbers for modules over simple domains. ⋮ Forcing linearity numbers of semisimple modules over integral domains. ⋮ Forcing linearity numbers of semicyclic modules over commutative Noetherian rings ⋮ HOMOGENEOUS BIJECTIONS THAT INDUCE AUTOMORPHISMS OF THE SUBMODULE LATTICE ⋮ Maximal rings associated with covers of Abelian groups. ⋮ When divisibility by an element implies invertibility. ⋮ When are homogeneous functions linear? A lattice point of view. ⋮ Forcing linearity numbers for finitely generated modules ⋮ Forcing Linearity Numbers for Multiplication Modules ⋮ Forcing linearity numbers for modules over rings with nontrivial idempotents

Cites Work

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• Blocking sets
• When do maximal submodules force linearity?
• Rings of homogeneous functions
• Unions and Common Complements of Subspaces

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