The quotient class of a non-archimedean field is the set of cosets with respect to all of its additive convex subgroups. The algebraic operations on the quotient class are the Minkowski sum and product. We study the algebraic laws of these operations. Addition and multiplication have a common structure in terms of regular ordered semigroups. The two algebraic operations are related by an adapted distributivity law
We study the unique extendability of Elliott\u2032s partial addition of Murray-von Neumann equivalen...
An algebraic number field is a finite extension of Q; an algebraic number is an element of an algebr...
The adjunction of a unit to an algebraic structure with a given binary asso-ciative operation is dis...
This thesis investigates some properties of valuations on fields. Basic definitions and theorems as...
Archimedean classes and convex subgroups play important roles in the study of ordered groups. In th...
There are well known algorithms to compute the class group of the maximal order $\mathcal{O}_K$ of a...
This paper is an algebraic study of selected properties of semigroups. Since a semigroup is a result...
Noncommutative geometry deals with many natural spaces for which the classical set-theoretic tools o...
In the manner of Pallaschke and Urbański ([5], chapter 3) we generalize the notions of the Minkowski...
Die Hauptordnung $mathcal O_K$ in einem algebraischen Zahlkörper ist ein Dedekindbereich und ihre Ar...
AbstractLet H, S, P be the standard operators on classes of algebras of the same type and Ps be the ...
We examine the problem of representing semigroups as binary relations, partial maps and injective fu...
AbstractWe study the unique extendability of Elliott′s partial addition of Murray-von Neumann equiva...
In this paper we introduce a class of hyperfields which contains non quotient hyperfields. Thus we g...
In this thesis we are concerned with arithmetic in a certain partially ordered, commutative semigrou...
We study the unique extendability of Elliott\u2032s partial addition of Murray-von Neumann equivalen...
An algebraic number field is a finite extension of Q; an algebraic number is an element of an algebr...
The adjunction of a unit to an algebraic structure with a given binary asso-ciative operation is dis...
This thesis investigates some properties of valuations on fields. Basic definitions and theorems as...
Archimedean classes and convex subgroups play important roles in the study of ordered groups. In th...
There are well known algorithms to compute the class group of the maximal order $\mathcal{O}_K$ of a...
This paper is an algebraic study of selected properties of semigroups. Since a semigroup is a result...
Noncommutative geometry deals with many natural spaces for which the classical set-theoretic tools o...
In the manner of Pallaschke and Urbański ([5], chapter 3) we generalize the notions of the Minkowski...
Die Hauptordnung $mathcal O_K$ in einem algebraischen Zahlkörper ist ein Dedekindbereich und ihre Ar...
AbstractLet H, S, P be the standard operators on classes of algebras of the same type and Ps be the ...
We examine the problem of representing semigroups as binary relations, partial maps and injective fu...
AbstractWe study the unique extendability of Elliott′s partial addition of Murray-von Neumann equiva...
In this paper we introduce a class of hyperfields which contains non quotient hyperfields. Thus we g...
In this thesis we are concerned with arithmetic in a certain partially ordered, commutative semigrou...
We study the unique extendability of Elliott\u2032s partial addition of Murray-von Neumann equivalen...
An algebraic number field is a finite extension of Q; an algebraic number is an element of an algebr...
The adjunction of a unit to an algebraic structure with a given binary asso-ciative operation is dis...
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