Prime Filtrations and Primary Decompositions of Modules

DOI10.1080/00927870903431225zbMath1222.13009OpenAlexW2022483858MaRDI QIDQ3081513

Ali Soleyman Jahan

Publication date: 8 March 2011

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

Full work available at URL: https://doi.org/10.1080/00927870903431225

zbMATH Keywords

monomial idealsimplicial complexshellable complexprimary decompositionclean modulesprime filtrationpretty clean modulesalmost clean modules

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Other special types of modules and ideals in commutative rings (13C13)

Related Items (2)

Associated radical ideals of monomial ideals ⋮ Pretty cleanness and filter-regular sequences

Cites Work

• Finite filtrations of modules and shellable multicomplexes
• Generic and cogeneric monomial ideals
• Cohen-Macaulay graphs
• On a conjecture of R. P. Stanley. II: Quotients modulo monomial ideals
• Prime filtrations of monomial ideals and polarizations
• Shellable Nonpure Complexes and Posets. I

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