Realization of a certain class of semi-groups as value semi-groups of valuations
نویسنده
چکیده
Given a well-ordered semi-group Γ with a minimal system of generators of ordinal type at most ωn 1 and of rational rank r, which satisfies a positivity and increasing condition, we construct a zero-dimensional valuation centered on the ring of polynomials with r variables such that the semigroup of the values of the polynomial ring is equal to Γ. The construction uses a generalization of Favre and Jonsson’s version of MacLane’s sequence of key-polynomials [3].
منابع مشابه
A land covers classification system for environment assessment in semi-arid regions of Iran
Land degradation is a major danger which restricting different areas of Iran. Systematic description of the environmentfor detection of environmental changes and the human-related causes and responses is essential in land cover changestudy. Use of land cover data allow detection of where certain changes occur, what type of change, as well as how theland is changing. Existing systems for classif...
متن کاملDivergence in Lattices in Semisimple Lie Groups and Graphs of Groups
Divergence functions of a metric space estimate the length of a path connecting two points A, B at distance ≤ n avoiding a large enough ball around a third point C. We characterize groups with non-linear divergence functions as groups having cut-points in their asymptotic cones. That property is weaker than the property of having Morse (rank 1) quasi-geodesics. Using our characterization of Mor...
متن کاملASSOCIATED (SEMI)HYPERGROUPS FROM DUPLEXES
In this paper using strongly duplexes we introduce a new class of (semi)hypergroups. The associated (semi)hypergroup from a strongly duplex is called duplex (semi)hypergroup. Two computer programs written in MATLAB show that the two groups $Z_{2n}$ and $Z_{n}times Z_{2}$ produce a strongly duplex and its associated hypergroup is a complementary feasible hypergroup.
متن کاملFixed Point Theorems for semi $lambda$-subadmissible Contractions in b-Metric spaces
Here, a new certain class of contractive mappings in the b-metric spaces is introduced. Some fixed point theorems are proved which generalize and modify the recent results in the literature. As an application, some results in the b-metric spaces endowed with a partial ordered are proved.
متن کامل