Son of, in Arabic names

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Possible Answers: IBN.

Random information on the term “IBN”:

In mathematics, more specifically in the field of ring theory, a ring has the invariant basis number (IBN) property if all finitely generated free left modules over R have a well-defined rank. In the case of fields, the IBN property becomes the statement that finite-dimensional vector spaces have a unique dimension.

A ring R has invariant basis number (IBN) if for all positive integers m and n, Rm isomorphic to Rn (as left R-modules) implies that m = n.

Equivalently, this means there do not exist distinct positive integers m and n such that Rm is isomorphic to Rn.

Rephrasing the definition of invariant basis number in terms of matrices, it says that, whenever A is an m-by-n matrix over R and B is an n-by-m matrix over R such that AB = I and BA = I, then m = n. This form reveals that the definition is left–right symmetric, so it makes no difference whether we define IBN in terms of left or right modules; the two definitions are equivalent.

Note that the isomorphisms in the definitions are not ring isomorphisms, they are module isomorphisms.

IBN on Wikipedia

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