Almost Schreier monoids

作者:Dumitrescu Tiberiu*; Khalid Waseem
来源:Algebra Universalis, 2012, 67(1): 19-28.
DOI:10.1007/s00012-011-0164-x

摘要

In an earlier paper, we introduced and studied the class of commutative integral domains D having the following property: if a, b(1), b(2) is an element of D and a vertical bar b(1)b(2), there exist an integer k %26gt;= 1 and a(1), a(2) is an element of D such that a(k) = a(1)a(2) and a(i)vertical bar b(i)(k), i = 1, 2. In this paper, we show that many of our earlier results are purely multiplicative in the sense they can be extended to the setting of commutative cancellative monoids.

  • 出版日期2012-2