On the Noetherian-like rings of E. G. Evans

DOI10.1090/S0002-9939-1972-0294316-2zbMath0239.13014MaRDI QIDQ5650785

Jack Ohm, William J. Heinzer

Publication date: 1972

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05)

Related Items (36)

On the clique number of the complement of the annihilating ideal graph of a commutative ring ⋮ A new graph associated to a commutative ring ⋮ Some Results on Finitely Laskerian Rings ⋮ The Laskerian Property, Power Series Rings and Noetherian Spectra ⋮ A graph associated with the set of all nonzero annihilating ideals of a commutative ring ⋮ Laskerian pairs ⋮ On strongly J-Noetherian rings ⋮ Noetherian-like properties in polynomial and power series rings ⋮ On the planarity of a graph associated to a commutative ring and on the planarity of its complement ⋮ Noetherian-like properties and zero-dimensionality in some extensions of rings ⋮ On a spanning subgraph of the annihilating-ideal graph of a commutative ring ⋮ When is the annihilating ideal graph of a zero-dimensional quasisemilocal commutative ring complemented? ⋮ On the complement of the total zero-divisor graph of a commutative ring ⋮ When is the complement of the zero-divisor graph of a commutative ring planar? ⋮ Noetherian properties in monoid rings. ⋮ Some properties of the complement of the zero-divisor graph of a commutative ring ⋮ When is the complement of the zero-divisor graph of a commutative ring complemented? ⋮ Unnamed Item ⋮ Some results on a spanning subgraph of the complement of the annihilating-ideal graph of a commutative reduced ring ⋮ Decomposition of ideals into pseudo-irreducible ideals ⋮ Ideals contracted from a Noetherian extension ring ⋮ The Laskerian property in commutative rings ⋮ COMPLEMENT OF THE ZERO DIVISOR GRAPH OF A LATTICE ⋮ On Nagata rings with amalgamation properties ⋮ On Primary Ideals in Posets ⋮ Unnamed Item ⋮ Modules and Rings Satisfying (ACCR) ⋮ Annihilating-ideal graphs with independence number at most four ⋮ On the complement of a graph associated with the set of all nonzero annihilating ideals of a commutative ring ⋮ Endo-Noetherian rings ⋮ SOME RESULTS ON THE COMPLEMENT OF THE ZERO-DIVISOR GRAPH OF A COMMUTATIVE RING ⋮ Some results on the complement of the annihilating ideal graph of a commutative ring ⋮ Finitely generated intermediate rings ⋮ Modules with \(n\)-acc and the acc on certain types of annihilators. ⋮ N-rings and ACC on colon ideals ⋮ When is an N-ring Noetherian?

Cites Work

• Über Laskersche Ringe
• On some uniqueness questions in primary representations of ideals
• Zero Divisors in Noetherian-Like Rings
• Locally Noetherian Commutative Rings

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