complex numbers - Why is $ |z|^2 = z z^* $? - Mathematics Stack …
2014年5月9日 · 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 knowledge, and build their careers.
How do we compute Aut (Z2 x Z2)? - Mathematics Stack Exchange
2015年9月26日 · 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 knowledge, and build their careers.
What does $\\mathbb Z_2[x]$ means? - Mathematics Stack …
2018年6月13日 · I know $\\mathbb{Z}_2$ is the set of all integers modulo $2$. But $\\mathbb{Z}_2[x]$ is the set of all polynomials. I am confused what it looks like.
Find all proper nontrivial subgroups of - Mathematics Stack …
2014年1月19日 · 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 knowledge, and build their careers.
How to get to the first step of solving $z^2=i$?
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Maximal ideals and prime ideals of $\\mathbb{Z}_2 \\times …
For instance, Z2 x Z4, I think one prime and maximal ideal is <(0.1)> since factor group is isomorphic to Z2. But there is one more prime and ideal maximal which is not generated by any element in Z2 x Z4.
abstract algebra - Module Isomorphism from Z4 to Z2+Z2
2015年10月31日 · Module Isomorphism from Z4 to Z2+Z2. Ask Question Asked 9 years, 2 months ago. Modified 9 years, 2 months ago.
What means a set in $Z^2$? - Mathematics Stack Exchange
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Quotient group (Z4×Z6) /(<2,2>) is isomorphic to Z2×Z2?
2023年12月3日 · The question was asked that what group it's isomorphic to, I wrote reasoning that it's isomorphic to Z2×Z2, and not isomorphic to cyclic group Z4 since Z4 is cyclic and the quotient group can not be cyclic because the group Z4×Z6 is also not cyclic.
linear algebra - How can I solve a vector equation in Z2?
I have a equation with 256 variables * 256-dimensional vectors in $\mathbb{Z}_2 $: $$ x_1 \cdot \left(\begin{array}{c} 1\\ 1\\ 1\\ \vdots\\ 0 \end{array}\right) + x_2 ...