Portal de Periódicos da CAPES

On t-closedness of generalized power series rings

2002; Elsevier BV; Volume: 166; Issue: 3 Linguagem: Inglês

10.1016/s0022-4049(01)00020-2

1873-1376

Hwankoo Kim,

Advanced Topics in Algebra

For an extension A ⊆ B of commutative rings, we present a sufficient condition for the ring [[ A S ,⩽ ]] of generalized power series to be t -closed in [[ B S ,⩽ ]], where ( S ,⩽) is a torsion-free cancellative ordered monoid. As a corollary, this result can be applied to the ring of power series in any number of indeterminates.