Product of finite rings in sage

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GA3165
77 ●1 ●4 ●11

5436 ●4 ●44 ●121

How to implement the cartesian product of finite commutative rings with 1 with pointwise multiplication in sage?

As far as I know, it is not there yet. So please help me with this. Thank you.

1 Answer

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Use cartesian_product.

Example:

sage: R = cartesian_product([Zmod(4), Zmod(3), Zmod(5)])
sage: R((1, 2, 3)) * R((2, 1, 3))
(2, 2, 4)
sage: R((2, 2, 3)) * R((2, 2, 2))
(0, 1, 1)

Thank you :)

GA3165 ( 4 years ago )

How to list out the zero-divisors of this ring? Thank you.

GA3165 ( 4 years ago )

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Last updated: Mar 31 '21