PRIME ELEMENTS IN PARTIALLY ORDERED GROUPOIDS APPLIED TO MODULES AND HOPF ALGEBRA ACTIONS

DOI10.1142/S0219498805001022zbMath1104.16005MaRDI QIDQ4675793

Christian Lomp

Publication date: 6 May 2005

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Hopf algebra actionsprime elementsprime modulespartially ordered groupoidsretractable modulessemiprime smash productsweakly compressible modules

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other classes of modules and ideals in associative algebras (16D80) Ordered semigroups and monoids (06F05) Smash products of general Hopf actions (16S40)

Related Items (9)

A Zariski Topology for Modules ⋮ Unnamed Item ⋮ Fully coprime comodules and fully coprime corings. ⋮ Submodules of Direct Sums of Compressible Modules ⋮ ON THE NOTION OF STRONG IRREDUCIBILITY AND ITS DUAL ⋮ A Brief Survey on Semiprime and Weakly Compressible Modules ⋮ When a (dual-)Baer module is a direct sum of (co-)prime modules ⋮ A characterization of modules embedding in products of primes and enveloping condition for their class ⋮ Some results of fully prime submodules

Cites Work

• Hopf algebra actions
• Galois splitting fields of a universal division algebra
• On the prime submodules of multiplication modules.
• When is a smash product semiprime? A partial answer.
• On the prime radical of a module over a commutative ring
• Weakly compressible Abelian groups
• Integrals in Hopf Algebras over Rings
• Semiprime skew group rings
• Duprime and dusemiprime modules

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