{"id":1380,"date":"2022-11-15T13:35:40","date_gmt":"2022-11-15T13:35:40","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=1380"},"modified":"2022-12-05T22:02:15","modified_gmt":"2022-12-05T22:02:15","slug":"chain-bundles-and-category-of-chains","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/chain-bundles-and-category-of-chains\/","title":{"rendered":"Chain bundles and category of chains"},"content":{"rendered":"\n<div style=\"height:77px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:30%\">\n<figure class=\"wp-block-image size-full is-resized is-style-default\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2022\/03\/logovf-4.png\" alt=\"\" class=\"wp-image-752\" width=\"151\" height=\"201\"\/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:70%\">\n<p style=\"font-size:21px\"><strong>Moroccan    Journal of Algebra and Geometry with Applications<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/moroccan-journal-of-algebra-and-geometry-with-applications-volume-1-issue-2-2022\/\" data-type=\"URL\" data-id=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/moroccan-journal-of-algebra-and-geometry-with-applications-volume-1-issue-2-2022\/\">Latest articles<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:14px\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<p class=\"has-text-align-center has-text-color has-huge-font-size\" style=\"color:#060182\"><em><strong>Chain bundles and category of chains<\/strong><\/em><\/p>\n<\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-center\" style=\"font-size:18.5px\"><strong>Parackal Govindan Romeo&nbsp;<\/strong><i class=\"fas fa-envelope\"><\/i> and Riya Jose<br> Department of Mathermatics, Cochin University of Science and Technology, Kochi, Kerala, India<\/p>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-text-align-center has-text-color\" style=\"color:#232222;font-size:16px\"><span style=\"color:#626161\" class=\"color\">Pages 380-391 |  Received 26 April 2022,  Accepted 26 July 2022, Published 06 December 2022  <\/span><\/p>\n\n\n\n<div style=\"height:31px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:250%\">\n<div style=\"height:51px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-large-font-size\"><strong><span style=\"color:#060182\" class=\"color\">Abstract<\/span><\/strong><\/p>\n\n\n\n<p class=\"has-small-font-size\">In [8], we introduced the category of chain bundles and it is shown that this category is set based having subobjects and admitting factorization of morphisms. In this paper we consider chains in the chain bundle category whichis a category in it\u2019s own right and discuss some interesting categorical properties of these categories.<\/p>\n\n\n\n<p class=\"has-small-font-size\"><span style=\"color:#060182\" class=\"color\"><strong>Keywords<\/strong>:<\/span>&nbsp; Category, Subobject, Chainbundle, Chain bundle map, Factorization, Category of chains, Chain complexes.                  <\/p>\n\n\n\n<p class=\"has-small-font-size\"><span style=\"color:#060182\" class=\"color\"><strong>MSC numbers<\/strong>:<\/span> Primary 18D70; Secondary 18G35.<\/p>\n\n\n\n<p class=\"has-small-font-size\"><strong>Downloads:<\/strong> <a href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2022\/12\/0102MJAGA380_391.pdf\" data-type=\"URL\" data-id=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2022\/12\/0102MJAGA380_391.pdf\">Full-text PDF<\/a>                               <\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:800px\"><a href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2022\/12\/0102MJAGA380_391.pdf\" class=\"pdfemb-viewer\" style=\"width:700px;height:950px;\" data-width=\"700\" data-height=\"950\" data-toolbar=\"bottom\" data-toolbar-fixed=\"off\">0102MJAGA380_391<\/a>\n<p class=\"wp-block-pdfemb-pdf-embedder-viewer\"><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:96px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-buttons is-content-justification-right is-layout-flex wp-container-core-buttons-is-layout-765c4724 wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-outline is-style-outline--1\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/on-a-realization-theorem-in-plane-hyperbolic-geometry-and-a-relatedidentity-in-neutral-geometry\/\" style=\"border-radius:100px\">Previous article <\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-outline is-style-outline--2\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/moroccan-journal-of-algebra-and-geometry-with-applications-volume-1-issue-2-2022\/\" style=\"border-radius:100px\"><strong>View<\/strong>&nbsp;issue table of contents<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-buttons is-content-justification-left is-layout-flex wp-container-core-buttons-is-layout-fdcfc74e wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-outline is-style-outline--3\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/graded-mn-closed-and-graded-weakly-mn-closed-ideals\/\" style=\"border-radius:100px\"><strong>Next<\/strong>&nbsp;article<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Moroccan Journal of Algebra and Geometry with Applications Latest articles Chain bundles and category of chains Parackal Govindan Romeo&nbsp; and Riya Jose Department of Mathermatics, Cochin University of Science and Technology, Kochi, Kerala, India Pages 380-391 | Received 26 April 2022, Accepted 26 July 2022, Published 06 December 2022 Abstract In [8], we introduced the <a class=\"read-more-link\" href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/chain-bundles-and-category-of-chains\/\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-page-builder.php","meta":{"footnotes":""},"class_list":["post-1380","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/1380","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/comments?post=1380"}],"version-history":[{"count":11,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/1380\/revisions"}],"predecessor-version":[{"id":1553,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/1380\/revisions\/1553"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=1380"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}