Article ID Journal Published Year Pages File Type
9497270 Journal of Pure and Applied Algebra 2005 6 Pages PDF
Abstract
We characterize, in terms of properties of homogeneous elements, when a graded domain is pre-Schreier or Schreier. As a consequence, the following properties of a commutative monoid domain A[M] are equivalent: (1) A[M] is pre-Schreier; (2) A[M] is Schreier; (3) A and M are Schreier. This is in contrast to pre-Schreier monoids and pre-Schreier integral domains, which need not be Schreier.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
When graded domains are Schreier or pre-Schreier
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