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Noncommuting variables

I am extremely new to Sage, and even newer to this site, so I apologize if anything is not up to standards.

I am dealing with a multivariable polynomial ring over $\mathbb{Z}$ with noncommuting variables. Is there a way to implement this with Sage? The closest thing I have found is FreeAlgebra, where the variables are noncommutative, but I have not found any way to impose relations that I want.

As stated before, I am extremely new to all of this so don't assume that I know anything, and don't hesitate to give any and all suggestions.

 2 retagged niles 4479 ●23 ●68 ●131 http://nilesjohnson.net/

Noncommuting variables

I am extremely new to Sage, and even newer to this site, so I apologize if anything is not up to standards.

I am dealing with a multivariable polynomial ring over $\mathbb{Z}$ with noncommuting variables. Is there a way to implement this with Sage? The closest thing I have found is FreeAlgebra, where the variables are noncommutative, but I have not found any way to impose relations that I want.

As stated before, I am extremely new to all of this so don't assume that I know anything, and don't hesitate to give any and all suggestions.

 3 retagged Kelvin Li 503 ●5 ●12 ●17

Noncommuting variables

I am extremely new to Sage, and even newer to this site, so I apologize if anything is not up to standards.

I am dealing with a multivariable polynomial ring over $\mathbb{Z}$ with noncommuting variables. Is there a way to implement this with Sage? The closest thing I have found is FreeAlgebra, where the variables are noncommutative, but I have not found any way to impose relations that I want.

As stated before, I am extremely new to all of this so don't assume that I know anything, and don't hesitate to give any and all suggestions.

 4 retagged Kelvin Li 503 ●5 ●12 ●17

Noncommuting variables

I am extremely new to Sage, and even newer to this site, so I apologize if anything is not up to standards.

I am dealing with a multivariable polynomial ring over $\mathbb{Z}$ with noncommuting variables. Is there a way to implement this with Sage? The closest thing I have found is FreeAlgebra, where the variables are noncommutative, but I have not found any way to impose relations that I want.

As stated before, I am extremely new to all of this so don't assume that I know anything, and don't hesitate to give any and all suggestions.

 5 retagged FrédéricC 4385 ●3 ●37 ●93

Noncommuting variables

I am extremely new to Sage, and even newer to this site, so I apologize if anything is not up to standards.

I am dealing with a multivariable polynomial ring over $\mathbb{Z}$ with noncommuting variables. Is there a way to implement this with Sage? The closest thing I have found is FreeAlgebra, where the variables are noncommutative, but I have not found any way to impose relations that I want.

As stated before, I am extremely new to all of this so don't assume that I know anything, and don't hesitate to give any and all suggestions.