On weakly prime radical of modules and semi-compatible modules.

DOI10.1007/S10474-006-0097-6zbMath1123.16004OpenAlexW2026072582MaRDI QIDQ879201

Mahmood Behboodi

Publication date: 8 May 2007

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-006-0097-6

zbMATH Keywords

prime idealsOre domainsDedekind domainsBezout domainssemicompatible ringssemiprime modulesweakly prime modulesweakly prime radical

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure, classification theorems for modules and ideals in commutative rings (13C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Other classes of modules and ideals in associative algebras (16D80) Ideals in associative algebras (16D25) General radicals and associative rings (16N80)

Related Items (8)

A generalization of the classical Krull dimension for modules. ⋮ ON CLASSICAL WEAKLY PRIME SUBMODULES ⋮ Some Properties of Left Weakly Jointly Prime (R,S)-Submodules ⋮ Height of prime and weakly prime submodules ⋮ On generalizations of classical primary submodules over commutative rings ⋮ CLASSICAL PRIMARY SUBMODULES AND DECOMPOSITION THEORY OF MODULES ⋮ On the prime radical and Baer's lower nilradical of modules. ⋮ Unnamed Item

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