Ordered fields.
Orderings of Higher Level and Semilocal Rings.
Orderings of monomial ideals
We study the set of monomial ideals in a polynomial ring as an ordered set, with the ordering given by reverse inclusion. We give a short proof of the fact that every antichain of monomial ideals is finite. Then we investigate ordinal invariants for the complexity of this ordered set. In particular, we give an interpretation of the height function in terms of the Hilbert-Samuel polynomial, and we compute bounds on the maximal order type.
Ordres de Gorenstein
Ordres faibles et localisation de zéros de polynômes
Ore extensions over near pseudo-valuation rings.
Orientations and multiplicative structures of resolutions.
Orthodox bands of modules
Outer automorphisms of endomorphism algebras
Commutative rings over which no endomorphism algebra has an outer automorphism are studied.