query: Existence of an idempotent element in a finite monoid.
positive_passages.docid: 7536
positive_passages.text: Is there an idempotent element in a finite semigroup?
negative_passages.docid: 142887
negative_passages.text: Exercise 1 pg 33 from "Algebra - T. W. Hungerford" - example for a semigroup-hom but not monoid-hom..
negative_passages.docid: 95373
negative_passages.text: Additive set function on a semiring of sets
negative_passages.docid: 81509
negative_passages.text: The cardinality of a countable union of countable sets, without the axiom of choice
negative_passages.docid: 84789
negative_passages.text: Order of products of elements in a finite Abelian group
negative_passages.docid: 79478
negative_passages.text: Name for categorical product inside a monoid
negative_passages.docid: 155421
negative_passages.text: Tensor product of monoids and arbitrary algebraic structures
negative_passages.docid: 74377
negative_passages.text: Is the natural order relation on an idempotent semiring total/linear?
negative_passages.docid: 35369
negative_passages.text: Monoid / semigroup with cancellation property $ ab=ac\Rightarrow b = c,$ $\ ba = ca\Rightarrow b = c$
negative_passages.docid: 42213
negative_passages.text: Computing $\text{Gal}(\mathbb{Q}^{ab}/\mathbb{Q})$
negative_passages.docid: 68753
negative_passages.text: Elements in finite field extensions
negative_passages.docid: 5089
negative_passages.text: An element of a group has the same order as its inverse
negative_passages.docid: 24561
negative_passages.text: $\mathbb S_n$ as semidirect product
negative_passages.docid: 133727
negative_passages.text: Is it possible to have a monoid with a proper class as the collection of elements?
negative_passages.docid: 59134
negative_passages.text: Proving idempotent elements in $\mathbb{Z}_n$
negative_passages.docid: 123419
negative_passages.text: Abstract algebra: homomorphism and an element of a prime order
negative_passages.docid: 102112
negative_passages.text: Idempotents in $\mathbb Z_n$