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visits member for 3 years, 11 months
seen Oct 26 at 0:34

Oct
26
awarded  Critic
Oct
25
accepted Is it possible to be a mathematician without being mathematically talented?
Oct
12
answered Linear independence and grammar
Oct
12
revised Linear independence and grammar
added 137 characters in body
Oct
12
asked Linear independence and grammar
Oct
3
accepted Infinite dimensional vector space and minimal generating subset
Oct
3
asked Infinite dimensional vector space and minimal generating subset
Sep
28
accepted A question related to the height of a proper ideal in a Noetherian ring
Sep
28
revised A question related to the height of a proper ideal in a Noetherian ring
deleted 1 character in body
Sep
28
revised A question related to the height of a proper ideal in a Noetherian ring
added 126 characters in body
Sep
28
comment A question related to the height of a proper ideal in a Noetherian ring
My understanding is that Krull's altitude Theorem requires $a_1$ to be a non-zero-divisor. The condition $a_1\not\in\bigcup_{\mathfrak{p}\in\operatorname{Min}(R)}\mathfrak{p}$ is not enough for $a_1$ to be a non-zero-divisor, is it?
Sep
27
revised A question related to the height of a proper ideal in a Noetherian ring
added 161 characters in body
Sep
27
asked A question related to the height of a proper ideal in a Noetherian ring
Sep
17
accepted Exact functors and “short” exact functors
Sep
9
answered Exact functors and “short” exact functors
Sep
9
comment Exact functors and “short” exact functors
I wonder if there is a concrete proof that shows "every exact functor $A\operatorname{Mod}\to A\operatorname{Mod}$ sends a zero module to a zero module," without any reference to the category theory? Here by an "exact functor" I mean it sends every exact sequence to an exact sequence.
Sep
9
comment Exact functors and “short” exact functors
Why is an exact functor additive?
Sep
9
asked Exact functors and “short” exact functors
Sep
7
comment Additive functor over a short split exact sequence.
Perhaps not "precisely" in the literal sense; it seems that $r\circ s=0$ or $g\circ f=0$ (but not both) can be omitted.
Jul
22
accepted Is the colimit of finite tensor products a tensor product?