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15
Math.TechQA.Club
2026-04-16 05:50:32
54
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Computing the number of projective-injective modules
Published on
16 Apr 2026 - 5:50
#abstract-algebra
#homological-algebra
#projective-module
#injective-module
#quiver
29
Views
Condition for a module to be finitely generated projective
Published on
12 Apr 2026 - 0:12
#abstract-algebra
#modules
#dual-spaces
#projective-module
324
Views
Trivial Group Representation is Projective implies Semisimple
Published on
12 Apr 2026 - 16:49
#representation-theory
#projective-module
2.3k
Views
K Theory: Book Recommendations
Published on
11 May 2026 - 7:53
#reference-request
#book-recommendation
#projective-module
#k-theory
#algebraic-k-theory
1.9k
Views
Why does the short exact sequence for projective module split?
Published on
14 Apr 2026 - 7:17
#commutative-algebra
#exact-sequence
#projective-module
179
Views
Proof that $\text{Hom}(E_1,F_1)\otimes\text{Hom}(E_2,F_2)$ and $\text{Hom}(E_1\otimes E_2,F_1\otimes F_2)$ are isomorphic
Published on
16 Apr 2026 - 5:27
#commutative-algebra
#category-theory
#tensor-products
#projective-module
320
Views
Two equivalent definitions of projective module $P$ (one involving right inverse), how do we make sense of these "replacements" in the proof?
Published on
15 Apr 2026 - 20:24
#abstract-algebra
#proof-explanation
#modules
#projective-module
91
Views
Is a bounded complex of projective $R$-modules of finite type quasi-isomorphic to a bounded complex of free $R$-modules of finite type?
Published on
12 Apr 2026 - 23:43
#abstract-algebra
#homological-algebra
#projective-module
#free-modules
124
Views
An Exercise on projective covers and injective envelopes of simple modules over an Artin algebra
Published on
25 Mar 2026 - 20:13
#abstract-algebra
#representation-theory
#projective-module
#injective-module
#artinian
114
Views
Question on injective envelopes
Published on
11 May 2026 - 8:42
#abstract-algebra
#representation-theory
#projective-module
#injective-module
#artinian
66
Views
Finiteness and extension of a ring of scalars
Published on
16 Apr 2026 - 5:45
#abstract-algebra
#ring-theory
#modules
#tensor-products
#projective-module
736
Views
Is the projective dimension of modules with finite projective dimension bounded?
Published on
15 Apr 2026 - 7:49
#commutative-algebra
#projective-module
48
Views
Confusion in the equivalent statement of projective module
Published on
14 Apr 2026 - 13:58
#abstract-algebra
#modules
#projective-module
361
Views
If M is a finitely generated projective module then the Homomorphism ring is also projective
Published on
14 Apr 2026 - 7:41
#abstract-algebra
#modules
#homological-algebra
#projective-module
317
Views
Property of transpose Tr in category of modules (Auslander-Reiten theory)
Published on
15 Apr 2026 - 21:58
#category-theory
#modules
#representation-theory
#homological-algebra
#projective-module
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