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Display information for equation id:math.234659.3 on revision:234659

* Page found: Tor functor (eq math.234659.3)

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Hash: 22f6fa494752b44996195ef3e7460c7f

TeX (original user input):

\cdots\rightarrow\mathrm{Tor}_2^R(M,B)\rightarrow\mathrm{Tor}_1^R(K,B)\rightarrow\mathrm{Tor}_1^R(L,B)\rightarrow\mathrm{Tor}_1^R(M,B)\rightarrow K\otimes B\rightarrow L\otimes B\rightarrow M\otimes B\rightarrow 0

LaTeXML (experimental; uses MathML) rendering

MathML (12.872 KB / 1.706 KB) :

Tor 2 R ( M , B ) Tor 1 R ( K , B ) Tor 1 R ( L , B ) Tor 1 R ( M , B ) K B L B M B 0 superscript subscript Tor 2 𝑅 𝑀 𝐵 superscript subscript Tor 1 𝑅 𝐾 𝐵 superscript subscript Tor 1 𝑅 𝐿 𝐵 superscript subscript Tor 1 𝑅 𝑀 𝐵 tensor-product 𝐾 𝐵 tensor-product 𝐿 𝐵 tensor-product 𝑀 𝐵 0 {\displaystyle\cdots\rightarrow{\mathrm{Tor}}_{2}^{R}(M,B)\rightarrow{\mathrm{% Tor}}_{1}^{R}(K,B)\rightarrow{\mathrm{Tor}}_{1}^{R}(L,B)\rightarrow{\mathrm{% Tor}}_{1}^{R}(M,B)\rightarrow K\otimes B\rightarrow L\otimes B\rightarrow M% \otimes B\rightarrow 0}
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    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\cdots\rightarrow{\mathrm{Tor}}_{2}^{R}(M,B)\rightarrow{\mathrm{%
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SVG (17.492 KB / 5.299 KB) :

midline-horizontal-ellipsis right-arrow upper T o r 2 Superscript upper R Baseline times left-parenthesis upper M comma upper B right-parenthesis right-arrow upper T o r 1 Superscript upper R Baseline times left-parenthesis upper K comma upper B right-parenthesis right-arrow upper T o r 1 Superscript upper R Baseline times left-parenthesis upper L comma upper B right-parenthesis right-arrow upper T o r 1 Superscript upper R Baseline times left-parenthesis upper M comma upper B right-parenthesis right-arrow upper K circled-times upper B right-arrow upper L circled-times upper B right-arrow upper M circled-times upper B right-arrow 0

SVG with PNG fallback (MathML can be enabled via browser plugin) rendering

MathML (3.526 KB / 500 B) :

T o r 2 R ( M , B ) T o r 1 R ( K , B ) T o r 1 R ( L , B ) T o r 1 R ( M , B ) K B L B M B 0 {\displaystyle \cdots \rightarrow \mathrm {Tor} _{2}^{R}(M,B)\rightarrow \mathrm {Tor} _{1}^{R}(K,B)\rightarrow \mathrm {Tor} _{1}^{R}(L,B)\rightarrow \mathrm {Tor} _{1}^{R}(M,B)\rightarrow K\otimes B\rightarrow L\otimes B\rightarrow M\otimes B\rightarrow 0}
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SVG (12.907 KB / 4.789 KB) :

{\displaystyle \cdots \rightarrow \mathrm {Tor} _{2}^{R}(M,B)\rightarrow \mathrm {Tor} _{1}^{R}(K,B)\rightarrow \mathrm {Tor} _{1}^{R}(L,B)\rightarrow \mathrm {Tor} _{1}^{R}(M,B)\rightarrow K\otimes B\rightarrow L\otimes B\rightarrow M\otimes B\rightarrow 0}

PNG (0 B / 8 B) :


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