I am supposed to find a binary operation that is associative and has several left inverse elements. I have no clue how to do that or if it is even possible, please help :)
2026-03-25 09:24:55.1774430695
Associative binary operation with several left inverse elememts
112 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in LINEAR-ALGEBRA
- An underdetermined system derived for rotated coordinate system
- How to prove the following equality with matrix norm?
- Alternate basis for a subspace of $\mathcal P_3(\mathbb R)$?
- Why the derivative of $T(\gamma(s))$ is $T$ if this composition is not a linear transformation?
- Why is necessary ask $F$ to be infinite in order to obtain: $ f(v)=0$ for all $ f\in V^* \implies v=0 $
- I don't understand this $\left(\left[T\right]^B_C\right)^{-1}=\left[T^{-1}\right]^C_B$
- Summation in subsets
- $C=AB-BA$. If $CA=AC$, then $C$ is not invertible.
- Basis of span in $R^4$
- Prove if A is regular skew symmetric, I+A is regular (with obstacles)
Related Questions in GROUP-THEORY
- What is the intersection of the vertices of a face of a simplicial complex?
- Group with order $pq$ has subgroups of order $p$ and $q$
- How to construct a group whose "size" grows between polynomially and exponentially.
- Conjugacy class formula
- $G$ abelian when $Z(G)$ is a proper subset of $G$?
- A group of order 189 is not simple
- Minimal dimension needed for linearization of group action
- For a $G$ a finite subgroup of $\mathbb{GL}_2(\mathbb{R})$ of rank $3$, show that $f^2 = \textrm{Id}$ for all $f \in G$
- subgroups that contain a normal subgroup is also normal
- Could anyone give an **example** that a problem that can be solved by creating a new group?
Related Questions in SEMIGROUPS
- What concept does a natural transformation between two functors between two monoids viewed as categories correspond to?
- Question about semigroups of permutations
- Isomorphism between finitely generated semigroups
- a question on Ellis semigroup
- Semigorup variety, hyperassociativity,idempotentunclear proof of $x^4\approx x^2$
- Hyperidentity, semigroups, bands.
- Maximal subgroup of a finite semigroup (GAP)
- Hypersubstitution, m-ary terms, semigroups, equivalent definitions
- Direct product of two finite monogenic semigroup
- Properties of infinite semigroup
Related Questions in BINARY-OPERATIONS
- Produce solutions such that $k$&$x$ $=$ $k$,in a range ($0$,$n$)
- Solve an equation with binary rotation and xor
- In a finite monoid (M, $\circ$) if the identity element $e$ is the only idempotent element, prove that each element of the monoid is invertible.
- Define a binary operation on the set of even integers which is different from addition,substraction and multiplication
- Basic problems on Group Theory
- Doubt in a proof of dropping parentheses with associativity
- how to show that the group $(G,+)$ is abelian
- Why quaternions is a group?
- Define a binary operation * on the real numbers as $x * y=xy+x+y$ for all real numbers x and y.
- Determining if the binary operation gives a group structure
Related Questions in ASSOCIATIVITY
- Doubt in a proof of dropping parentheses with associativity
- Up to what level can associativity be guaranteed?
- How to prove the associative property of min-plus matrix multiplication?
- Semigorup variety, hyperassociativity,idempotentunclear proof of $x^4\approx x^2$
- Is there an intuitive reason for a certain operation to be associative?
- A More Symmetric Exponentiation
- What happened here at the proof of associative law for addition?
- Is this composition associative?
- Associative algebra without nilpotent ideals is direct sum of minimal left ideals
- On the least prime in an arithmetic progression $a + nb$ where $a,b$ are distinct primes.
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
Take the monoid presented by $\langle a, b, c \mid ac = bc = 1 \rangle$. Then $a$ and $b$ are both left inverses of $c$. Note that such an example has to be an infinite monoid. Indeed, in a finite monoid, the condition $xz= yz = 1$ implies $x = y$.