A characterization of prime submodules

DOI10.1006/JABR.1998.7636zbMath0924.13003OpenAlexW2090889127MaRDI QIDQ1284257

Yücel Tiraş, Abdullah Harmanci, Patrick F. Smith

Publication date: 26 May 1999

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

Full work available at URL: http://hdl.handle.net/11655/18917

zbMATH Keywords

prime submodulesprime idealslinear equations

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (18)

Prime and semiprime submodules of Rn and a related Nullstellensatz for Mn(R) ⋮ A Prime Submodule Principle ⋮ Rings all of whose prime serial modules are serial ⋮ A characterization of prime submodules of an injective module over a Noetherian ring ⋮ Anti-homomorphisms between module lattices ⋮ On prime modules and dense submodules ⋮ Topological properties of the prime spectrum of a semimodule ⋮ Unnamed Item ⋮ Prime uniserial modules and rings ⋮ On finiteness of multiplication modules ⋮ Noetherian rings whose modules are prime serial ⋮ Second Modules Over Noncommutative Rings ⋮ Prime subacts over commutative monoids with zero. ⋮ ON GENERALIZATION OF NAKAYAMA'S LEMMA ⋮ Unnamed Item ⋮ On Prime Submodules of a Finitely Generated Free Module Over a Commutative Ring ⋮ NOETHERIAN SPECTRUM ON RINGS AND MODULES ⋮ Zariski Spaces of Modules over Arbitrary Rings

Cites Work

• Prime submodules of Noetherian modules
• Prime submodules
• On the prime radical of a module over a commutative ring
• A principal ideal theorem analogue for modules over commutative rings

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