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Free products with amalgamation of commutative inverse semigroups

Published online by Cambridge University Press:  09 April 2009

Teruo Imaoka
Teruo Imaoka
Affiliation:
Department of Mathematics, Monash University Clayton, Victoria, Australia, 3168.
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A class of algebras A is said to have the strong amalgamation property if for any indexed set of algebras {Ai: i ∈ J} from A, each having an algebra U ∈ A as a subalgebra, there exist an algebra B ∈ A and monomorphisms φi: Ai → B (for each i ∈ J) such that (i) φi|U = φi| U for all i,j∈J, (ii) φi(Ai) ∩ φi(Aj) =φi(U) for atl i, j ∈ J with i ≠ j, where φi|U denotes the restriction of φi to U. Omitting condition (ii) gives us the definition of the weak amalgamation property.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 22 , Issue 2 , September 1976 , pp. 246 - 251
Copyright
Copyright © Australian Mathematical Society 1976

References

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