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- ...ime divisors are discussed is when this semi-group is the multiplicative [[monoid]] of a commutative ring with identity. Also, divisors are also occasionall2 KB (359 words) - 18:39, 2 December 2008
- ...this operation is the empty string. (So far we have described the [[free monoid]] on the alphabet.) We define the inverse of a word to be the word obtaine2 KB (436 words) - 02:56, 15 November 2008
- * Every [[monoid]] is a semigroup, by "forgetting" the identity element.3 KB (405 words) - 16:21, 13 November 2008
- | [[monoid]] | [[monoid]]18 KB (2,669 words) - 08:38, 17 April 2024
- == Matrix monoid <math>\mathit{SO}(\mathbb{Z}_+, 2)</math> == ...Furthermore, <math>\mathit{SO}(\mathbb{Z}_+, 2)</math> is a [[monoid]] with respect to the matrix multiplication.35 KB (5,836 words) - 08:40, 15 March 2021
- {{rpl|Monoid}}5 KB (628 words) - 04:35, 22 November 2023
- ...ing classes of fuzzy subalgebras. In such a case a fuzzy subset ''s'' of a monoid (M,•,'''u''') is a fuzzy submonoid if and only if4 KB (725 words) - 01:25, 12 December 2008
- ...',·) is ''not'' a group. The most we can say is that it is a commutative [[monoid]]. ...minate the requirement that every element have an inverse, then we get a [[monoid]].19 KB (3,074 words) - 11:11, 13 February 2009
- ...or multiplication say that '''Z''' under multiplication is a [[commutative monoid]]. However, note that not every integer has a multiplicative inverse; e.g.10 KB (1,566 words) - 08:34, 2 March 2024
- ...For instance, they can be defined as the [[convolution algebra]] of the [[monoid]] of non-negative powers of the generator ''X'' of a cyclic group. This me10 KB (1,741 words) - 10:04, 3 January 2009