Threads Tagged with monoid Thread / Thread Starter Last Post Replies Views Forum In abstract algebra (ring theory specifically), when we are dealing with factorization, UFD's, and so on, we are often... Oct15-12 03:53 PM lugita15 4 771 Linear & Abstract Algebra The question of whether there is any standard math associated with specifications of ordered pairs on a group went... Oct9-12 02:15 PM Stephen Tashi 2 564 Linear & Abstract Algebra Hi, I wanted to see what people think about my current viewpoint on recognizing structures in abstract algebra. ... Jun24-12 09:48 PM pwsnafu 1 821 Linear & Abstract Algebra Many textbooks describe a monoid as a category of one object having arrows for its elements. But they also define a... Apr12-12 03:48 PM byron.hawkins 2 974 Set Theory, Logic, Probability, Statistics The Wikipedia article for the bicyclic monoid gives three constructions, one of which starts with a free semigroup. It... Feb7-12 03:05 PM alexfloo 2 972 Linear & Abstract Algebra 1. The problem statement, all variables and given/known data Let (M, *) be a monoid. Define p_m(a, b) = amb. The... Sep25-11 02:51 PM farleyknight 0 332 Calculus & Beyond Homework For reference, let \mathbb N^{\infty} denote the set of all \infty-tuples of the form (n_{1}, n_{2}, \dots) with... Aug31-11 01:44 PM micromass 48 3,294 General Math Hello, in these pages (1, 2) I found the description of a particular construction that makes a Group from a... Jun24-10 11:14 AM Martin Rattigan 12 2,381 Linear & Abstract Algebra 1. The problem statement, all variables and given/known data Does the category Monoid of monoids have finite... Mar13-10 11:28 PM imlala 0 566 Calculus & Beyond Homework 1. The problem statement, all variables and given/known data Hello, I'd like to prove that the category cmon of... Mar12-10 08:31 PM imlala 2 482 Calculus & Beyond Homework Hi! I have following question. I will explain it with abstract notation although in fact I am working with some... Dec29-09 05:25 AM kakaz 3 1,559 Linear & Abstract Algebra If M is a monoid and u,v\in M, and uv = 1, do we know vu = 1? Can someone prove this or provide a counterexample? I... May29-09 01:49 PM matt grime 2 861 General Math End n(k) is the set of all polynomial mappings: k^n->k^n. i have to prove that end n(k) is a monoid. k is a field... Apr24-05 01:07 PM Hurkyl 5 2,001 Linear & Abstract Algebra G is a monoid. Inv(G) = {a E G, exists b so that a b = b a = 1} prove that Inv(G) is a group. it's pretty obvious... Apr12-05 04:56 PM Palindrom 6 1,225 Linear & Abstract Algebra