Independence algebras, basis algebras and semigroups of quotients

Research output: Contribution to journalArticlepeer-review

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Publication details

JournalProceedings of the Edinburgh Mathematical Society
DatePublished - Oct 2010
Issue number3
Volume53
Number of pages33
Pages (from-to)697-729
Original languageEnglish

Abstract

We show that if A is a stable basis algebra satisfying the distributivity condition, then B is a reduct of an independence algebra A having the same rank. If this rank is finite, then the endomorphism monoid of B is a left order in the endomorphism monoid of A.

    Research areas

  • semigroup, independence, basis, exchange property, endomorphism monoid, quotients, WEAK EXCHANGE PROPERTIES, RELATIVELY FREE ALGEBRAS, IDEMPOTENT ENDOMORPHISMS, PRODUCTS, MATRICES, RANK

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