Arithmetic and Polynomials over Fuzzy Rings

Autor:	Walter Wenzel, Andreas W. M. Dress
Rok vydání:	2015
Předmět:	Algebra Zariski topology Ring (mathematics) Algebra and Number Theory Mathematics::Commutative Algebra Tropical geometry Fuzzy number Field (mathematics) Arithmetic Commutative algebra Fuzzy logic Semiring Mathematics
Zdroj:	Communications in Algebra. 43:1207-1231
ISSN:	1532-4125 0092-7872
DOI:	10.1080/00927872.2013.865044
Popis:	Fuzzy rings are, on the one handside, an appropriate tool for a unified approach to representable, oriented, and valuated matroids. On the other hand, they also serve to unify the relatively new field of “Tropical Geometry” and “Classical Algebraic Geometry.” Therefore, these fuzzy rings deserve a more thorough examination. We study the arithmetic in fuzzy rings and related structures as well as polynomials over these coefficient domains.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::02c5e29630e8fde149a37cd4cbfb7917 https://doi.org/10.1080/00927872.2013.865044 Zobrazit plný text záznamu