Add to ORKGNeutrices and external numbers were proposed as models of orders of magnitude within nonstandard analysis. We show that the external numbers form a commutative regular semigroup for addition and that the external numbers which are not neutrices form a commutative regular semigroup for multiplication. The validity of the distributive law is restricted, but it can be fully characterized
We will examine totalising a partial operation in a general algebra by using an absorbtive element, ...
Internal Set Theory is an axiomatic approach to nonstandard analysis, consisting of three axiom sche...
This thesis is organized into two independent parts. In the first part, we extend the recent work on...
Neutrices are additive subgroups of a nonstandard model of the real numbers. An external number is t...
Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitu...
In practice we do not always need to be exact. We may ignore small quantities and be happy with appr...
Nesta tese apresentamos uma axiomática para os números externos. Neutri- ces e números externos fora...
AbstractNeutrices are convex additive subgroups of the nonstandard space Rk, most of them are extern...
Neutrices are convex subgroups of the nonstandard real number system, most of them are external sets...
AbstractIn an extensive category satisfying a mild chain condition, the arithmetic of multiplication...
Usual math sets have special types: countable, compact, open, occasionally Borel, rarely projective,...
AbstractVan den Berg, I.P., Extended use of IST, Annals of Pure and Applied Logic 58 (1992) 73–92. I...
International audienceThe focus of this chapter is on the study of NeutroSemigroups. NeutroSemigroup...
Starting with a partial order on a NeutroAlgebra, we get a NeutroStructure. The latter if it satisfi...
The generalization of the concept of natural integers by means of sum, subtraction, product and quot...
We will examine totalising a partial operation in a general algebra by using an absorbtive element, ...
Internal Set Theory is an axiomatic approach to nonstandard analysis, consisting of three axiom sche...
This thesis is organized into two independent parts. In the first part, we extend the recent work on...
Neutrices are additive subgroups of a nonstandard model of the real numbers. An external number is t...
Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitu...
In practice we do not always need to be exact. We may ignore small quantities and be happy with appr...
Nesta tese apresentamos uma axiomática para os números externos. Neutri- ces e números externos fora...
AbstractNeutrices are convex additive subgroups of the nonstandard space Rk, most of them are extern...
Neutrices are convex subgroups of the nonstandard real number system, most of them are external sets...
AbstractIn an extensive category satisfying a mild chain condition, the arithmetic of multiplication...
Usual math sets have special types: countable, compact, open, occasionally Borel, rarely projective,...
AbstractVan den Berg, I.P., Extended use of IST, Annals of Pure and Applied Logic 58 (1992) 73–92. I...
International audienceThe focus of this chapter is on the study of NeutroSemigroups. NeutroSemigroup...
Starting with a partial order on a NeutroAlgebra, we get a NeutroStructure. The latter if it satisfi...
The generalization of the concept of natural integers by means of sum, subtraction, product and quot...
We will examine totalising a partial operation in a general algebra by using an absorbtive element, ...
Internal Set Theory is an axiomatic approach to nonstandard analysis, consisting of three axiom sche...
This thesis is organized into two independent parts. In the first part, we extend the recent work on...