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Previous issue date: 2015-12-11 / O principal objetivo deste trabalho ? propor a no??o de primalidade forte e uniformemente forte no ambiente fuzzy. Assim, ? apresentado um conceito de ideal uniformemente primo independente de alpha-cortes, mas de certa forma compat?vel. Tamb?m ? investigada a primalidade forte nos quantales, propondo uma defini??o de ideal primo e uniformemente primo coerente com o ambiente n?o-comutativo que serve de base para a investiga??o em fuzzy. Como ferramenta adicional, este trabalho introduz o conceito de t/m sistemas para o ambiente fuzzy sugerindo um caminho alternativo para lidar com primalidade. Por fim, ? desenvolvido uma vers?o fuzzy do teorema da correspond?ncia e no??es iniciais sobre o radical de um ideal fuzzy. / The main aim of this investigation is to propose the notion of uniform and strong primeness
in fuzzy environment. First, it is proposed and investigated the concept of fuzzy
strongly prime and fuzzy uniformly strongly prime ideal. As an additional tool, the
concept of t/m systems for fuzzy environment gives an alternative way to deal with
primeness in fuzzy. Second, a fuzzy version of correspondence theorem and the radical
of a fuzzy ideal are proposed. Finally, it is proposed a new concept of prime ideal for
Quantales which enable us to deal with primeness in a noncommutative setting.
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/21133 |
| Date | 11 December 2015 |
| Creators | Bergamaschi, Flaulles Boone |
| Contributors | 30680581200, http://lattes.cnpq.br/7536988783793885, Bedregal, Benjamin Rene Callejas, 90688384404, http://lattes.cnpq.br/4601263005352005, Pimentel, Elaine Gouvea, 84151781668, http://lattes.cnpq.br/3298246411086415, Hermann, Edward, 24815438153, Barros, Laecio Carvalho de, 93893787887, http://lattes.cnpq.br/2179264383063219, Santiago, Regivan Hugo Nunes |
| Publisher | Universidade Federal do Rio Grande do Norte, PROGRAMA DE P?S-GRADUA??O EM SISTEMAS E COMPUTA??O, UFRN, Brasil |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/doctoralThesis |
| Source | reponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN |
| Rights | info:eu-repo/semantics/openAccess |
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