|
1.
Unpacking .tar.gz, .tar, or .zip files To unpack a .tar.gz file, say, foo.tar.gz , use the following command: ... To extract the files within, right click on the file and select the 'Extract All' ... 2.
Construction of Matrix Algebras and their Elements Given a matrix algebra R defined as a subalgebra of Mn(S) and a sequence Q=[a1, ..., an, a1, ... Create the identity matrix In of the matrix algebra R. ... 3.
Magma FAQ: MAC addresses If you have followed the appropriate steps above and still been unable to determine your machine's MAC address, you can always get Magma itself to tell you ... 4.
Operations with Linear Transformations Image(a) : ModMatRngElt -> ModTupRng, Map, Map. The image of the linear transformation a belonging to HomK(V, W), returned as a subspace of W. ... 5.
Operations with Linear Transformations Rank(a) : ModMatRngElt -> RngIntElt. The dimension of the image of the linear transformation a, i.e., the rank of the matrix a. ... 6.
Construction of Subalgebras, Ideals and Quotient Algebras As well as the ideal itself, the constructor returns the inclusion homomorphism f : I -> A. The above operations can also be applied with a subalgebra (type ... 7.
Construction of Subalgebras, Ideals and Quotient Algebras ... the subalgebra S itself, the constructor returns the inclusion homomorphism f : S -> A. ... the constructor returns the natural homomorphism f : A -> Q. ... 8.
Construction of Matrix Algebras and their Elements Given a positive integer n and a ring S, create the complete matrix algebra Mn(S), ... If t is 3 then Q must consist of n2 integers in the range [0, ... 9.
Operations on Ideals Basic Operations. I + J : RngMPolLoc, RngMPolLoc -> RngMPolLoc. Given ideals I and J of the same polynomial ring P, return the sum of I and J, ... 10.
Basic Creation and Access Dec 23, 2008 ... Given an element f of the R-module of degree r, return the sequence [f1, ..., fr] of r elements from R corresponding to f. ... |
