https://math.codidact.com/categories/41/tags/4554.rssNew Posts Tagged 'definition' - MathematicsMathematics - Codidact2022-10-03T08:28:02Zhttps://math.codidact.com/posts/280118Product of empty set of elements vs. product over empty indexing set — is there any difference?The Amplitwisthttps://math.codidact.com/users/535162020-12-25T12:48:00Z2022-10-03T08:28:02Z<p>I am reading Lang's <em>Algebra</em> (3rd ed., Pearson, 2003). In $\S$I.1 <em>Monoids</em>, on page 4 the author defines the meaning of and notations for products of finitely many elements of a ...https://math.codidact.com/posts/280704Why should a non-commutative operation even be called "multiplication"?theabbiehttps://math.codidact.com/users/537872021-02-08T10:18:35Z2021-02-14T19:56:50Z<p>As per my knowledge and what was taught in school,</p>
<blockquote>
<p>$a\times b$ is $a$ times $b$ or $b$ times $a$</p>
</blockquote>
<p>Obviously this is commutative as $a$ times $b$ and $...