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Given a finite ring $A$ (a finite group would be enough actually as we do not use multiplication of the ring). Is it possible to obtain the ring $R$ (with usual addition and multiplication being given by composition) of all maps (not structure presserving) $A \rightarrow A$ as a ring in GAP? Is it possible to get $R$ as an $K$-algebra in case $A$ is an $K$-algebra?

For example can do this in the special case of $A= Z_n$ the ring of all integers mod $n$.

Mare
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  • You might want to look at the SONATA package -- they have methods for constructing endomorphism rings. – ahulpke Dec 18 '19 at 15:54
  • @ahulpke Thanks. They have such a function for nearrings. Is there any way in GAP, using this package, to view a ring as a nearring (such as $Z_n$)? – Mare Dec 19 '19 at 21:42
  • You would have to look at the manual or contact the package authors. – ahulpke Dec 20 '19 at 20:40

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