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susam.net | ||
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www.jeremykun.com
Last time we defined and gave some examples of rings. Recapping, a ring is a special kind of group with an additional multiplication operation that "plays nicely" with addition. The important thing to remember is that a ring is intended to remind us arithmetic with integers (though not too much: multiplication in a ring need not be commutative). We proved some basic properties, like zero being unique and negation being well-behaved. |
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www.math3ma.com
[AI summary] The article explains the hierarchy of integral domains in abstract algebra, detailing the relationships and proofs between fields, Euclidean domains, principal ideal domains, and unique factorization domains. |
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mattbaker.blog
Test your intuition: is the following true or false? Assertion 1: If $latex A$ is a square matrix over a commutative ring $latex R$, the rows of $latex A$ are linearly independent over $latex R$ if and only if the columns of $latex A$ are linearly independent over $latex R$. (All rings in this post... |
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gist.github.com
Self Signed Certificate with Custom Root CA. GitHub Gist: instantly share code, notes, and snippets. |
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