Real characters of certain semi-groups with applications

Realization of a Certain Class of Semi-Groups as Value Semi-Groups of Valuations

realization of a certain class of semi-groups as value semi-groups of valuations

Realization of a certain class of semi-groups as value semi-groups of valuations

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 ...

On the Theory of Characters of Groups and Semi-Groups in Normed Vector Rings.

1. Recently I. Gelfand1 has defined a class of characters of Abelian groups embedded in a normed commutative vector ring. The present note contains an elaboration of this theory with a strengthening of the main theorem and extensions to semi-groups. Let 9R be a normed commutative vector ring with unit element e, £ the set of maximal ideals 9 in 9?, 9/9) the corresponding residue class rings eac...

Digital cohomology groups of certain minimal surfaces

In this study, we compute simplicial cohomology groups with different coefficients of a connected sum of certain minimal simple surfaces by using the universal coefficient theorem for cohomology groups. The method used in this paper is a different way to compute digital cohomology groups of minimal simple surfaces. We also prove some theorems related to degree properties of a map on digital sph...