Amalgamation bases for commutative rings without nilpotent elements |
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| Authors: | G L Cherlin |
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| Institution: | (1) Rutgers University, New Brunswick, N.J., USA |
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| Abstract: | SCR=the class of commutative rings without nilpotent elements.Theorem,R is an amalgamation base for SCR iff rad (I=Ann2(I) forI ⊆R finitely generated.
Supplement. IfR ε SCR thenR is contained in an amalgamation basis for SCR having no new idempotent elements.
CR=the class of commutative rings.
Theorem.R is an amalgamation base for CR iffR is a pureR-submodule of any commutative ring extendingR. |
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