| In it one understands that the above determinant is simply a means of computing a subtler determinant, namely that of an endomorphism of a two-dimensional vector space which possesses no privileged basis. |
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| Let be a vector space of dimension, and an endomorphism. |
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| The theory of endomorphism semigroups of groups is quite modestly developed. |
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| It follows naturally that various classes of ordered sets can be characterized by semigroup properties of endomorphism semigroups. |
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