Search Results - Structure, classification theorems for modules and ideals in commutative rings

A principal ideal theorem analogue for modules over commutative rings by George, Seleena M., McCasland, Roy L., Smith, Patrick F.

“…The Principal Ideal Theorem states that if Re is a commutative Noetherian ring and ? is a prime ideal of Re which is minimal over a principal ideal then Pe has height at most 1. Also, if Re…”
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A generalized principal ideal theorem for modules over a commutative ring by Nishitani, Ikuo

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Commutative Algebra: 150 Years with Roger and Sylvia Wiegand by Baeth, Nicholas R, Freitas, Thiago H, Leuschke, Graham J

“… years.Articles in this volume cover various areas of factorization theory, homological algebra, ideal theory, representation theory, homological rigidity, maximal Cohen-Macaulay modules, and the behavior…”
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Approximations and Endomorphism Algebras of Modules: Volume 1 - Approximations / Volume 2 - Predictions by Göbel, Rüdiger, Trlifaj, Jan

“…) and realization theorems for modules (Volume 2). It is a widely accepted fact that the category of all modules over a general associative ring is too complex to admit classification…”
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Tilting and Star Module Theory in Commutative Rings by Jarrar, Mohammad Sameeh Mahmoud

“… and ☆-modules over commutative rings. Chapter 1 provides a complete classification of all tilting modules and tilting classes over almost perfect domains, which generalizes the classifications of tilting modules and tilting classes…”
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Homological Properties of Structures in Commutative Algebra and Algebraic Combinatorics by Lyle, Justin Lee

“…The purpose of this work is to understand homological properties of structures appearing in commutative algebra and algebraic combinatorics, objects such as commutative rings and associated structures…”
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Generalized Commutator Formulas by Hazrat, R., Zhang, Z.

“…Let A be an algebra which is a direct limit of module finite algebras over a commutative ring R with 1…”
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Thick tensor ideals of right bounded derived categories by Matsui, Hiroki, Takahashi, Ryo

“…)\). First, we give a complete classification of the thick tensor ideals of \(D^-(R)\) generated by bounded complexes, establishing a generalized version of the Hopkins-Neeman smash nilpotence theorem…”
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On the Classification of Grade Three Perfect Ideals by Gray, Logan Taylor

“…In this thesis we will study a theorem by Avramov-Kustin-Miller found in Poincare series of modules over local rings of small embedding codepth or small linking number that classifies the possible…”
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Connectedness of the Balmer spectra of right bounded derived categories by Matsui, Hiroki

“…By virtue of Balmer's celebrated theorem, the classification of thick tensor ideals of a tensor triangulated category…”
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Homological Algebra Modulo a Regular Sequence with Special Attention to Codimension Two by Avramov, Luchezar L, Buchweitz, Ragnar-Olaf

“…Let M be a finite module over a ring R obtained from a commutative ring Q by factoring out an ideal generated by a regular sequence…”
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Some Special Classes of Modules by Loggie, William T. H

“… In each case, we will try and relate the property of the class to the submodule or ideal structure of the module or ring which induces…”
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