JOURNAL BROWSE
Search
Advanced SearchSearch Tips
ON SEPARATIVE REFINEMENT MONOIDS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
ON SEPARATIVE REFINEMENT MONOIDS
Chen, Huanyin;
  PDF(new window)
 Abstract
We obtain two new characterizations of separativity of refinement monoids, in terms of comparability-type conditions. As applications, we get several equivalent conditions of separativity for exchange ideals.
 Keywords
refinement monoid;separativity;exchange ideal;
 Language
English
 Cited by
1.
Tame and wild refinement monoids, Semigroup Forum, 2015, 91, 1, 1  crossref(new windwow)
 References
1.
P. Ara, Extensions of exchange rings, J. Algebra 197 (1997), no. 2, 409–423 crossref(new window)

2.
P. Ara, Stability properties of exchange rings, International Symposium on Ring Theory (Kyongju, 1999), 23–42, Trends Math., Birkhauser Boston, Boston, MA, 2001

3.
P. Ara, K. R. Goodearl, K. C. O'Meara, and E. Pardo, Separative cancellation for projective modules over exchange rings, Israel J. Math. 105 (1998), 105–137 crossref(new window)

4.
G. Brookfield, Monoids and Categories of Noetherian Modules, Ph. D. Thesis, University of California, 1997

5.
K. R. Goodearl, Von Neumann Regular Rings, Monographs and Studies in Mathematics, 4. Pitman (Advanced Publishing Program), Boston, Mass.-London, 1979

6.
K. R. Goodearl, Von Neumann regular rings and direct sum decomposition problems, Abelian groups and modules (Padova, 1994), 249–255, Math. Appl., 343, Kluwer Acad. Publ., Dordrecht, 1995

7.
E. Pardo, Comparability, separativity, and exchange rings, Comm. Algebra 24 (1996), no. 9, 2915–2929 crossref(new window)

8.
F. Wehrung, Restricted injectivity, transfer property and decompositions of separative positively ordered monoids, Comm. Algebra 22 (1994), no. 5, 1747–1781 crossref(new window)