Three sets of conditions on rings

Research output: Contribution to journalArticlepeer-review


We define a set of conditions Lm on a ring R using the notion of independence of elements. We prove that L1, L2, … is a strictly decreasing sequence of conditions. Two other sequences of conditions are considered and we prove that they are also strictly decreasing and we obtain their relation to Lm.

Original languageEnglish
Pages (from-to)393-398
Number of pages6
JournalProceedings of the American Mathematical Society
Issue number2
StatePublished - 1970


  • Formal series
  • Left and right independent
  • M-fir
  • M-term algorithm
  • Special series


Dive into the research topics of 'Three sets of conditions on rings'. Together they form a unique fingerprint.

Cite this