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Criteria for a direct sum of modules to be a multiplication module over noncommutative rings

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Publication:2035822
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DOI10.1016/j.jalgebra.2021.05.006zbMath1482.16005OpenAlexW3172974096MaRDI QIDQ2035822

T. Alsuraiheed, Vladimir V. Bavula

Publication date: 25 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.05.006

zbMATH Keywords

multiplication modulemultiplication ringmultiplication idealdirect sum.


Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) General module theory in associative algebras (16D10)


Related Items

On torsion elements and their annihilators, A necessary and sufficient condition for a direct sum of modules to be distributive



Cites Work

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  • A companion ideal of a multiplication module
  • Some remarks on multiplication modules
  • Multiplication modules over non-commutative rings
  • Characterization of multiplication commutative rings with finitely many minimal prime ideals
  • The algebra of integro-differential operators on a polynomial algebra
  • Multiplication modules
  • Multiplication modules
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