<span class="searchmatch">zero</span> <span class="searchmatch">ring</span> (<span class="searchmatch">ring</span> theory) The unique <span class="searchmatch">ring</span> (up to isomorphism) with only one element (which is necessarily the additive identity of the <span class="searchmatch">ring</span>, hence typically...
has an article on: <span class="searchmatch">zero</span> ideal Wikipedia <span class="searchmatch">zero</span> ideal (plural <span class="searchmatch">zero</span> ideals) (algebra, <span class="searchmatch">ring</span> theory, of a <span class="searchmatch">ring</span>) The ideal containing only the element <span class="searchmatch">zero</span>....
See also: <span class="searchmatch">Zero</span>, <span class="searchmatch">zerò</span>, <span class="searchmatch">zéro</span>, <span class="searchmatch">zèro</span>, <span class="searchmatch">zêro</span>, <span class="searchmatch">zêrô</span>, <span class="searchmatch">zéró</span>, <span class="searchmatch">zérô</span>, <span class="searchmatch">żero</span>, <span class="searchmatch">Żero</span>, and <span class="searchmatch">ẓéro</span> Languages (15) Translingual • English Basque • Catalan • Ido • Indonesian...
simple <span class="searchmatch">ring</span>, field The unique maximal ideal of a (commutative) local <span class="searchmatch">ring</span> contains all of the <span class="searchmatch">zero</span> divisors of such <span class="searchmatch">ring</span>, and all elements of the <span class="searchmatch">ring</span> outside...
article on: division <span class="searchmatch">ring</span> Wikipedia division <span class="searchmatch">ring</span> (plural division <span class="searchmatch">rings</span>) (algebra) A <span class="searchmatch">ring</span> with 0 ≠ 1, such that every non-<span class="searchmatch">zero</span> element a has a multiplicative...
an article on: <span class="searchmatch">zero</span> divisor Wikipedia <span class="searchmatch">zero</span>-divisor <span class="searchmatch">zero</span> divisor (plural <span class="searchmatch">zero</span> divisors) (algebra, <span class="searchmatch">ring</span> theory) An element a of a <span class="searchmatch">ring</span> R for which there...
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fractions) (algebra) A ring of fractions of a given ring, such that the set of allowed denominators contains all of the non-<span class="searchmatch">zero</span> divisors of the given <span class="searchmatch">ring</span>....
multiplicative operation, the <span class="searchmatch">zero</span> element (additive identity), and, if there is one, the unity element (multiplicative identity). <span class="searchmatch">ring</span> isomorphism image kernel...
regular element (plural regular elements) (algebra) An element of a <span class="searchmatch">ring</span> that is not a <span class="searchmatch">zero</span> divisor. <span class="searchmatch">zero</span> divisor...