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.
Original language | English |
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Pages (from-to) | 697-729 |
Number of pages | 33 |
Journal | Proceedings of the Edinburgh Mathematical Society |
Volume | 53 |
Issue number | 3 |
DOIs | |
Publication status | Published - Oct 2010 |
Keywords
- semigroup
- independence
- basis
- exchange property
- endomorphism monoid
- quotients
- WEAK EXCHANGE PROPERTIES
- RELATIVELY FREE ALGEBRAS
- IDEMPOTENT ENDOMORPHISMS
- PRODUCTS
- MATRICES
- RANK