Residual smallness in commutative algebra

DOI10.1080/00927872.2017.1376213zbMath1439.13010OpenAlexW2754021545MaRDI QIDQ4567847

Adam Salminen, Greg G. Oman

Publication date: 20 June 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1376213

zbMATH Keywords

cardinal arithmeticmonoidinjective enveloperesidually small

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Ordinal and cardinal numbers (03E10) Theory of modules and ideals in commutative rings (13C99)

Related Items (2)

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Cites Work

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• Injective modules over Noetherian rings
• Profinite and residually finite groups
• Residually small commutative rings
• Prime decomposition theorem for arbitrary semigroups: General holonomy decomposition and synthesis theorem
• Rings with all modules residually finite
• Subrings of finite index in finitely generated rings
• Residual finiteness and the Hopf property in rings
• On Modules Whose Proper Homomorphic Images Are of Smaller Cardinality
• Jónsson Modules over Noetherian Rings
• SMALL AND LARGE IDEALS OF AN ASSOCIATIVE RING
• Residually finite groups
• Residually Finite Rings
• Rings with Finite Norm Property
• Homogeneous Universal Modules.

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