query: Existence of certain non-commutative finite monoid
positive_passages.docid: 20571
positive_passages.text: In a monoid, does $x \cdot y=e$ imply $y \cdot x=e$?
negative_passages.docid: 125613
negative_passages.text: Free idempotent semigroup with 3 generators
negative_passages.docid: 42582
negative_passages.text: Infinite group with only two conjugacy classes
negative_passages.docid: 145254
negative_passages.text: $G$ be a non-nilpotent and supersoluble finite group.
negative_passages.docid: 98436
negative_passages.text: Finite order endomorphisms
negative_passages.docid: 75104
negative_passages.text: Existence of some type matrix
negative_passages.docid: 68732
negative_passages.text: Prove that a semigroup satisfying $a^pb^q=ba$ is commutative
negative_passages.docid: 109470
negative_passages.text: Proof of whether a specific element is in a commutative, invertible monoid.
negative_passages.docid: 44361
negative_passages.text: An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity
negative_passages.docid: 124864
negative_passages.text: A not free $\mathbb{Z}$-module
negative_passages.docid: 35401
negative_passages.text: Examples of finite groups that are not a semidirect product
negative_passages.docid: 121481
negative_passages.text: Non-abelian finite $p$-group in which every element has prime order?
negative_passages.docid: 57105
negative_passages.text: Probs. 12 & 13 , Sec. 2.3, in Herstein's TOPICS IN ALGEBRA, 2nd ed: Existence of only right-sided identity and right-sided inverses suffice
negative_passages.docid: 113512
negative_passages.text: Characteristic of nonzero commutative rings with unity
negative_passages.docid: 148569
negative_passages.text: Embeddings $A → B → A$, but $A \not\cong B$?
negative_passages.docid: 25685
negative_passages.text: What is the product of all nonzero, finite cardinals?
negative_passages.docid: 21610
negative_passages.text: The monoid of fractions associated with the submonoid of cancellable elements of a commutative monoid E