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front math0607300 classifying subcategories of modules over a pid

.Title: Classifying subcategories of modules over a PID Authors: Sunil K. Chebolu Categories: math.AC Commutative Algebra Comments: 6 pages MSC: 18E10, 13F10 »» http://front.math.ucdavis.edu/math.AC/0607300

abstract algebra on line theorems

.Finitely generated torsionfree modules over a PID (10.7.5) Fundamental theorem of finitely generated modules over a PID (10.7.5) Characterizaton of prime ideals (11.1.3) »» http://www.math.niu.edu/~beachy/aaol/theorems.html

dedekind domain wikipedia the free encyclopedia

.However, it follows from (M3PID) that a finitely generated torsionfree module P over a PID is free. In particular, it asserts that all fractional ideals are principal, a statement »» http://en.wikipedia.org/wiki/Dedekind_domain

structure theorem for finitely generated modules over a principal

.Every finitely generated module over a PID is also finitely presented because a PID is noetherian, an even stronger condition than coherence. Take a presentation, which is a map »» http://en.wikipedia.org/wiki/Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain

abstract algebra on line contents

.Finitely generated torsion modules over a PID (10.3.9) Finitely generated torsionfree modules over a PID (10.7.5) First isomorphism theorem (7.1.1) »» http://www.math.niu.edu/~beachy/aaol/contents.html

hjm vol 32 no 2 2006

.Prime and Radical Submodules of Free Modules over a PID, pp. 355-367. ABSTRACT. In this paper the notion of prime matrix is introduced. It is shown that if R is a PID then »» http://math.uh.edu/~hjm/Vol32-2.html

tensoring with a quotient ring

.Modules over a PID the above formula generalizes to any pid. Use Bezout's identity to show that the sum of two ideals is spanned by the gcd of their generators. »» http://www.mathreference.com/mod-pit,tqr.html

modules over a pid

.Math reference, modules over a pid. PID Modules, An Introduction Introduction When you encounter a finitely generated abelian group G, your professor, or your text book, will tell »» http://www.mathreference.com/mod-pid,intro.html

finitely generated modules over a pid

.FINITELY GENERATED MODULES OVER A PID, I . A will throughout be a fixed PID. We will develop the structure theory for finitely generated A modules. »» http://www.stanford.edu/class/math210b/FINITELY%20GENERATED%20MODULE.doc

math0607300 classifying subcategories of modules over a pid

.Abstract: Let $R$ be a commutative ring. A full additive subcategory $\C$ of $R$-modules is triangulated if whenever two terms of a short exact sequence belong to $\C$, then so »» http://arxiv.org/abs/math/0607300

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