query: A ring which has many distinct left inverses
positive_passages.docid: 151752
positive_passages.text: Example of a linear operator on some vector space with more than one right inverse.
negative_passages.docid: 45710
negative_passages.text: Finishing a proof: $f$ is injective if and only if it has a left inverse
negative_passages.docid: 105887
negative_passages.text: Ring and Subring with different Identities
negative_passages.docid: 11375
negative_passages.text: Jacobson radical of a certain ring of matrices
negative_passages.docid: 94855
negative_passages.text: Prove if a (mod n) has a multiplicative inverse, then it's unique
negative_passages.docid: 157863
negative_passages.text: A finite pseudo-ring such that $ab^2=b$ for some $(a,b)\in A$
negative_passages.docid: 6385
negative_passages.text: Minimal counterexamples of the isomorphism problem for integral group rings
negative_passages.docid: 77382
negative_passages.text: Left ideals of $M_n(K)$
negative_passages.docid: 112131
negative_passages.text: Characterizing all ring homomorphisms $C[0,1]\to\mathbb{R}$.
negative_passages.docid: 157585
negative_passages.text: Structure theorem of finite rings
negative_passages.docid: 28313
negative_passages.text: Intermediate ring between a field and an algebraic extension.
negative_passages.docid: 42941
negative_passages.text: Pair of adjoint functors and showing that two certain maps are inverses
negative_passages.docid: 21604
negative_passages.text: A complete ring with respect to an ideal
negative_passages.docid: 89234
negative_passages.text: Any Set with Associativity, Left Identity, Left Inverse is a Group
negative_passages.docid: 152013
negative_passages.text: elementary ring proof with composition of functions and addition of functions as operations
negative_passages.docid: 107378
negative_passages.text: If a ring element is right-invertible, but not left-invertible, then it has infinitely many right-inverses.
negative_passages.docid: 126025
negative_passages.text: Computing the inverse of a permutation