A partial converse to a theorem of Tamari

作者：Donnelly John^*

来源：Semigroup Forum, 2010, 81(2): 389-392.

DOI：10.1007/s00233-010-9221-6

• Monoid ring
• Common right multiples

Let M be a cancellative monoid such that the monoid ring a"currency signM has no zero divisors. We show that if the monoid consisting of all elements of a"currency signM with strictly positive coefficients has nonzero common right multiples, then M is left amenable.

• 出版日期2010-10