Free products with amalgamation of commutative inverse semigroups
1976 ◽
Vol 22
(2)
◽
pp. 246-251
◽
Keyword(s):
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.
1994 ◽
Vol 124
(1)
◽
pp. 137-147
◽
Keyword(s):
1961 ◽
Vol 12
(4)
◽
pp. 669
◽
1998 ◽
Vol 189
(8)
◽
pp. 1125-1137
◽