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Classes of commutative rings characterized by going-up and goingdown behavior

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Publication:1163059
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zbMath0483.13001MaRDI QIDQ1163059

Marco Fontana, David E. Dobbs

Publication date: 1982

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1982__66__113_0


zbMATH Keywords

von Neumann regular ringspullbackBaer ringprime spectrumgoing-downgoing-upKrull dimension zeropm-ringTF-spacesTYS-spaces


Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Spectra in general topology (54B35) Extension theory of commutative rings (13B02) Relevant commutative algebra (14A05)


Related Items (1)

First steps going down on algebraic frames



Cites Work

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  • Topologically defined classes of commutative rings
  • On the compactness of minimal spectrum
  • Finiteness in projective ideals
  • The spectrum of a ring as a partially ordered set
  • On Regular Group Rings
  • Minimal Prime Ideals in Commutative Semigroups
  • The Ordering of Spec R
  • Finitely generated projective ideals in commutative rings.
  • A note on commutative Baer rings


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