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Polynomial rings over commutative reduced Hopfian local rings

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Publication:1705212
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DOI10.1007/s10474-017-0782-7zbMath1399.13003arXiv1704.06102OpenAlexW2963240633MaRDI QIDQ1705212

Himadri Mukherjee, Alpesh M. Dhorajia

Publication date: 14 March 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06102

zbMATH Keywords

local ringclean ringHopfian ring


Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15)




Cites Work

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  • DENSELY CO-HOPFIAN MODULES
  • COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT
  • Lifting Idempotents and Exchange Rings
  • Exchange rings, units and idempotents
  • Group identities on units of locally finite algebras and twisted group algebras
  • RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT
  • Modules whose injective endomorphisms are essential
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