| dc.contributor.author | Karimi Feizabadi, Abolghasem | en_US |
| dc.date.accessioned | 1399-08-02T00:04:21Z | fa_IR |
| dc.date.accessioned | 2020-10-23T00:04:22Z | |
| dc.date.available | 1399-08-02T00:04:21Z | fa_IR |
| dc.date.available | 2020-10-23T00:04:22Z | |
| dc.date.issued | 2019-07-01 | en_US |
| dc.date.issued | 1398-04-10 | fa_IR |
| dc.date.submitted | 2018-09-21 | en_US |
| dc.date.submitted | 1397-06-30 | fa_IR |
| dc.identifier.citation | Karimi Feizabadi, Abolghasem. (2019). The categories of lattice-valued maps, equalities, free objects, and $mathcal C$-reticulation. Categories and General Algebraic Structures with Applications, 11, 93-112. doi: 10.29252/cgasa.11.1.93 | en_US |
| dc.identifier.issn | 2345-5853 | |
| dc.identifier.issn | 2345-5861 | |
| dc.identifier.uri | https://dx.doi.org/10.29252/cgasa.11.1.93 | |
| dc.identifier.uri | http://cgasa.sbu.ac.ir/article_87118.html | |
| dc.identifier.uri | https://iranjournals.nlai.ir/handle/123456789/470625 | |
| dc.description.abstract | In this paper, we study the concept of $mathcal C$-reticulation for the category $mathcal C$ whose objects are lattice-valued maps. The relation between the free objects in $mathcal C$ and the $mathcal C$-reticulation of rings and modules is discussed. Also, a method to construct $mathcal C$-reticulation is presented, in the case where $mathcal C$ is equational. Some relations between the concepts reticulation and satisfying equalities and inequalities are studied. | en_US |
| dc.format.extent | 670 | |
| dc.format.mimetype | application/pdf | |
| dc.language | English | |
| dc.language.iso | en_US | |
| dc.publisher | Shahid Beheshti University | en_US |
| dc.relation.ispartof | Categories and General Algebraic Structures with Applications | en_US |
| dc.relation.isversionof | https://dx.doi.org/10.29252/cgasa.11.1.93 | |
| dc.subject | Free object | en_US |
| dc.subject | $ell$-ring | en_US |
| dc.subject | $ell$-module | en_US |
| dc.subject | frame | en_US |
| dc.subject | cozero map | en_US |
| dc.subject | semi-cozero map | en_US |
| dc.subject | the $F$-Zariski topology | en_US |
| dc.subject | $mathcal C$-reticulation | en_US |
| dc.subject | lattice-valued map | en_US |
| dc.title | The categories of lattice-valued maps, equalities, free objects, and $mathcal C$-reticulation | en_US |
| dc.type | Text | en_US |
| dc.type | Research Paper | en_US |
| dc.contributor.department | Department of Mathematics, Gorgan Branch, Islamic Azad University, Gorgan, Iran. | en_US |
| dc.citation.volume | 11 | |
| dc.citation.spage | 93 | |
| dc.citation.epage | 112 | |
