Note on the weak global dimension of coherent bi-amalgamations

DOI10.1007/s10013-016-0236-5zbMath1374.13026OpenAlexW2561959497MaRDI QIDQ1680579

Mohammed Tamekkante, El Mehdi Bouba

Publication date: 16 November 2017

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-016-0236-5

zbMATH Keywords

coherent ringsweak global dimension(bi)-amalgamated algebras

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (1)

Trivial extensions subject to semi-regularity and semi-coherence

Cites Work

• Bi-amalgamated algebras along ideals
• Projectivity of pure ideals
• The amalgamated duplication of a ring along a multiplicative-canonical ideal
• Properties of chains of prime ideals in an amalgamated algebra along an ideal
• Commutative coherent rings
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• Amalgamated algebras along an ideal
• CPI-Extensions: Overrings of Integral Domains with Special Prime Spectrums
• Homological Dimension of Pullbacks.
• Prüfer Conditions in an Amalgamated Duplication of a Ring Along an Ideal
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