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- W2953099056 abstract "The Zorn's Algebra ZZ(R) has a multiplicative function called determinant with properties similar to the usual one. The set of elements in ZZ(R) with determinant 1 is a Moufang loop that we will denote by GA. In our main result we prove that if R is a Dedekind algebraic number domain that contains an infinite order unit, each finite index subloop L, such that GA has the weak Lagrange property relative to L, is congruence subloop. In addition, if R=Z, then we present normal subloops of finite index in GA that are not congruence subloops." @default.
- W2953099056 created "2019-06-27" @default.
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- W2953099056 date "2002-04-22" @default.
- W2953099056 modified "2023-09-27" @default.
- W2953099056 title "Zorn's matrices and finite index subloops" @default.
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