scientific article

zbMath0985.16006MaRDI QIDQ2738765

Jan Trlifaj

Publication date: 19 February 2002

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

tilting modulescotilting modulescoversdirect summandsshort exact sequencesintegral domainscotorsion theoriesenvelopescotorsion modulesdivisible modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Integral domains (13G05) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Other special types of modules and ideals in commutative rings (13C13)

Related Items (20)

Flat commutative ring epimorphisms of almost Krull dimension zero ⋮ A model structure approach to the finitistic dimension conjectures ⋮ On strongly flat modules over integral domains ⋮ On strongly flat and weakly cotorsion modules ⋮ When are definable classes tilting and cotilting classes? ⋮ Baer cotorsion pairs. ⋮ Countably generated flat modules are quite flat ⋮ Cotorsion pairs generated by modules of bounded projective dimension. ⋮ FLAT RING EPIMORPHISMS OF COUNTABLE TYPE ⋮ Telescope conjecture, idempotent ideals, and the transfinite radical ⋮ \(S\)-almost perfect commutative rings ⋮ All tilting modules are of finite type ⋮ Local splitters for bounded cotorsion theories ⋮ Constructing tilting modules ⋮ An independence result on cotorsion theories over valuation domains ⋮ Approximations and the little finitistic dimension of Artinian rings ⋮ Generalized Hill lemma, Kaplansky theorem for cotorsion pairs and some applications. ⋮ Tilting objects in triangulated categories ⋮ Tilting theory and the finitistic dimension conjectures ⋮ Tilting modules over small Dedekind domains

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