We give a new condition on a monoid M for the monoid ring F[M] to be a 2-fir. Furthermore, we construct a monoid M that satisfies all the currently known necessary conditions for F[M] to be a semifir and that the group of units of M is trivial, but M is not a directed union of free monoids.
@article{urn:eudml:doc:41071, title = {On semifir monoid rings.}, journal = {Publicacions Matem\`atiques}, volume = {33}, year = {1989}, pages = {123-132}, zbl = {0686.20043}, mrnumber = {MR1004229}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41071} }
Cedó Gine, Ferrán. On semifir monoid rings.. Publicacions Matemàtiques, Tome 33 (1989) pp. 123-132. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41071/