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Independence algebras, basis algebras and the distributivity condition

Independence algebras, basis algebras and the distributivity condition

Stable basis algebras were introduced by Fountain and Gould and developed in a series of articles. They form a class of universal algebras, extending that of independence algebras, and reflecting the way in which free modules over well-behaved domains generalise vector spaces. If a stable basis algebra $$\mathbb{B}$$ satisfies the …