What does "$\cong$" sign represent? - Mathematics Stack Exchange
In geometry, $\cong$ means congruence of figures, which means the figures have the same shape and size. (In advanced geometry, it means one is the image of the other under a …
Proof of $(\\mathbb{Z}/m\\mathbb{Z}) \\otimes_\\mathbb{Z} …
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …
Difference between "≈", "≃", and "≅" - Mathematics Stack Exchange
$\cong$ is used to show a congruency between two mathematical expressions, which could be geometrical, topological, and when using modulo arithmetic you can get different numbers that …
abstract algebra - On proving that $\operatorname{Aut} A_n \cong ...
2025年1月1日 · I went through several pages on the web, each of which asserts that $\operatorname{Aut} A_n \cong \operatorname{Aut} S_n \; (n\geq 4)$ or an equivalent …
$G \\times H \\cong G \\times K$ , then $ K \\cong H$
There are a couple of questions from about a year ago in a similar vein to this one on math.SE. So I thought it would be useful to post this answer linking to two of them and relating them to …
linear algebra - Another proof that $Hom(V,W)\cong V^*\otimes …
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Show that $\\operatorname{Hom}_{R} (R,M) \\cong M$
2017年5月28日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
Computing the Canonical bundle $K_{\\mathbb{P}^n} \\cong …
2023年8月22日 · Q1: Yes, this is the definition of the determinant of a one-dimensional vector space. Q2: Yes, the dual of the trivial line bundle is the trivial line bundle (for instance, use that …
Connected sum of projective plane $\\cong$ Klein bottle
2014年11月28日 · How can I see that the connected sum $\\mathbb{P}^2 \\# \\mathbb{P}^2$ of the projective plane is homeomorphic to the Klein bottle? I'm not necessarily looking for an …
abstract algebra - Prove or disprove that $G_1/H_1 \cong G_2/H_2 ...
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …