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Affine semigroups over an arbitrary field

Affine semigroups over an arbitrary field

Let ℒ V denote the algebra of all linear transformations on an n -dimensional vector space V over a field Φ. A subsemigroup S of the multiplicative semigroup of ℒ V will be said to be an affine semigroup over Φ if S is a linear variety, i.e., a translate …