query: Example of function between monoids that preserves operations but does not preserve identity
positive_passages.docid: 142887
positive_passages.text: Exercise 1 pg 33 from "Algebra - T. W. Hungerford" - example for a semigroup-hom but not monoid-hom..
negative_passages.docid: 125174
negative_passages.text: Combinatorial intuition of identity
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: 22245
negative_passages.text: Show the union of two subrings is generally not a subring
negative_passages.docid: 109462
negative_passages.text: Looking for a counter example for non-connected intersection of descending chain of closed connected sets
negative_passages.docid: 31392
negative_passages.text: Examples and Counterexamples of Relations which Satisfy Certain Properties
negative_passages.docid: 4676
negative_passages.text: Notation for repeated composition of functions
negative_passages.docid: 40743
negative_passages.text: When a semigroup can be embedded into a group
negative_passages.docid: 50993
negative_passages.text: Faithful representations and character tables
negative_passages.docid: 79478
negative_passages.text: Name for categorical product inside a monoid
negative_passages.docid: 28925
negative_passages.text: Can the Identity Map be a repeated composition one other function?
negative_passages.docid: 74839
negative_passages.text: Catalan numbers: bijection between applications of a binary operator and Dyck words.
negative_passages.docid: 126065
negative_passages.text: Example $g\circ f=id_A$ but $f\circ g\neq id_B$
negative_passages.docid: 83744
negative_passages.text: is there a property of a category that is preserved by category isomorphism, but not equivalence?
negative_passages.docid: 157765
negative_passages.text: What would a Cayley table of inverse semigroup look like?
negative_passages.docid: 109649
negative_passages.text: idempotents acting as local identities
negative_passages.docid: 117793
negative_passages.text: Finding a function $\mathbb{N} \to \mathbb{N}$ that is surjective but not injective.