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15
Math.TechQA.Club
2013-12-26 07:03:06
2.2k
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Prove that $M$ is a free module if and only if $M$ is a projective module over $PID$.
Published on
26 Dec 2013 - 7:03
#abstract-algebra
#ring-theory
#modules
#principal-ideal-domains
#projective-module
424
Views
Why $\prod_{i\in I} \Bbb Z$ is not a projective $\Bbb Z$-module?
Published on
28 Dec 2013 - 6:28
#abstract-algebra
#modules
#projective-module
1.8k
Views
Finitely generated projective modules are isomorphic to their double dual.
Published on
28 Dec 2013 - 7:38
#abstract-algebra
#projective-module
765
Views
projective dimension and localization
Published on
07 Jan 2014 - 19:24
#commutative-algebra
#homological-algebra
#localization
#projective-module
216
Views
An invariant submodule of a projective module
Published on
26 Mar 2026 - 12:33
#abstract-algebra
#modules
#projective-module
#group-rings
119
Views
Why is $M=\{(x_i)\in R^n: \sum r_ix_i=0\}$ a projective module?
Published on
21 Jan 2014 - 2:27
#abstract-algebra
#commutative-algebra
#projective-module
149
Views
Question on Nakayama?
Published on
22 Jan 2014 - 1:30
#abstract-algebra
#algebraic-geometry
#commutative-algebra
#modules
#projective-module
221
Views
A few questions about a specific ring
Published on
24 Jan 2014 - 23:31
#abstract-algebra
#ring-theory
#modules
#noncommutative-algebra
#projective-module
241
Views
Is ${\bf Z}_m$ a projective ${\bf Z}$-module?
Published on
26 Jan 2014 - 12:53
#abstract-algebra
#projective-module
143
Views
Clarification about some proof of Projectivity
Published on
26 Jan 2014 - 18:11
#abstract-algebra
#ring-theory
#ideals
#noncommutative-algebra
#projective-module
1k
Views
Triangular Matrices and Simple Modules
Published on
02 Feb 2014 - 1:19
#abstract-algebra
#matrices
#ring-theory
#projective-module
711
Views
Annihilator of a projective module is always a projective idempotent ideal?
Published on
03 Feb 2014 - 22:36
#proof-verification
#commutative-algebra
#projective-module
10.1k
Views
Projective module over a PID is free?
Published on
10 Feb 2014 - 22:56
#abstract-algebra
#commutative-algebra
#modules
#principal-ideal-domains
#projective-module
65
Views
Prove some statements about projective modules
Published on
19 Feb 2014 - 1:17
#abstract-algebra
#projective-module
181
Views
Requirements on ring for injective-projectiveness
Published on
27 Mar 2026 - 10:08
#abstract-algebra
#commutative-algebra
#modules
#projective-module
#injective-module
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