Implicative filters in quasi-ordered residuated systems
Abstract The concept of residuated relational systems ordered under a quasiorder relation was introduced in 2018 by S. Bonzio and I. Chajda as a structure 𝒜 = 〈A, ·,→, 1, R〉, where (A, ·) is a commutative monoid with the identity 1 as the top element in this...
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Universidad Católica del Norte, Departamento de Matemáticas
2021
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oai:scielo:S0716-091720210002004172021-04-03Implicative filters in quasi-ordered residuated systemsRomano,Daniel A. Quasi-ordered residuated system Implicative filter in quasi-ordered residuated system Abstract The concept of residuated relational systems ordered under a quasiorder relation was introduced in 2018 by S. Bonzio and I. Chajda as a structure 𝒜 = 〈A, ·,→, 1, R〉, where (A, ·) is a commutative monoid with the identity 1 as the top element in this ordered monoid under a quasi-order R. The author introduced and analyzed the concepts of filters in this type of algebraic structures. In this article, as a continuation of previous author’s research, the author introduced and analyzed the concept of implicative filters in quasi-ordered residuated systems.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.2 20212021-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200417en10.22199/issn.0717-6279-2021-02-0025 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Quasi-ordered residuated system Implicative filter in quasi-ordered residuated system |
| spellingShingle |
Quasi-ordered residuated system Implicative filter in quasi-ordered residuated system Romano,Daniel A. Implicative filters in quasi-ordered residuated systems |
| description |
Abstract The concept of residuated relational systems ordered under a quasiorder relation was introduced in 2018 by S. Bonzio and I. Chajda as a structure 𝒜 = 〈A, ·,→, 1, R〉, where (A, ·) is a commutative monoid with the identity 1 as the top element in this ordered monoid under a quasi-order R. The author introduced and analyzed the concepts of filters in this type of algebraic structures. In this article, as a continuation of previous author’s research, the author introduced and analyzed the concept of implicative filters in quasi-ordered residuated systems. |
| author |
Romano,Daniel A. |
| author_facet |
Romano,Daniel A. |
| author_sort |
Romano,Daniel A. |
| title |
Implicative filters in quasi-ordered residuated systems |
| title_short |
Implicative filters in quasi-ordered residuated systems |
| title_full |
Implicative filters in quasi-ordered residuated systems |
| title_fullStr |
Implicative filters in quasi-ordered residuated systems |
| title_full_unstemmed |
Implicative filters in quasi-ordered residuated systems |
| title_sort |
implicative filters in quasi-ordered residuated systems |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2021 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200417 |
| work_keys_str_mv |
AT romanodaniela implicativefiltersinquasiorderedresiduatedsystems |
| _version_ |
1718439898495582208 |