In this note we study some algebraic properties of Borel Ideals in the ring of polynomials over an effective field of characteristic zero by using a suitable partial order relation defined on the set of terms of each degree. In particular, in the three variable case, we characterize all the 0-dimensional Borel ideals corresponding to an admissible -vector and their minimal free resolutions.
@article{BUMI_2001_8_4B_1_207_0, author = {Maria Grazia Marinari}, title = {Sugli ideali di Borel}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {4-A}, year = {2001}, pages = {207-237}, zbl = {1035.13009}, mrnumber = {1821405}, language = {it}, url = {http://dml.mathdoc.fr/item/BUMI_2001_8_4B_1_207_0} }
Marinari, Maria Grazia. Sugli ideali di Borel. Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001) pp. 207-237. http://gdmltest.u-ga.fr/item/BUMI_2001_8_4B_1_207_0/
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