{"id":4666,"date":"2024-12-18T18:49:03","date_gmt":"2024-12-18T18:49:03","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=4666"},"modified":"2024-12-18T18:49:34","modified_gmt":"2024-12-18T18:49:34","slug":"mat-321-2-0-abstract-algebra","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/mat-321-2-0-abstract-algebra\/","title":{"rendered":"MAT 321 2.0 Abstract Algebra"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<\/p>\n<p><strong>Course:\u00a0\u00a0<\/strong>MAT 321 2.0 Abstract Algebra (Compulsory)<\/p>\n\n<p><strong>Course Content<\/strong>:<\/p>\n\n<p style=\"text-align: justify;\">A few Preliminary Remarks, The Integers, Mathematical Induction, Archimedian Property; Definitions and Examples of Groups, Some Simple Remarks, Commutative and non-commutative groups, The group of integers modulo n (Z<sub>n <\/sub>, +), Subgroups, Lagrange\u2019s Theorem, Homomorphisms and Normal Subgroups, Factor Groups, The Homomorphism Theorems; Definitions and Examples of Rings, Some Simple Results, Ideals, Quotient Rings, Homomorphisms(as a generalization of Homomorphism Theorems in groups); Definition and Examples of Fields, A Brief Excursion into Vector Spaces, Subfields, Field Homomorphisms, Fundamental Theorem of Algebra.<\/p>\n\n<p><strong>Recommend Readings:<\/strong><\/p>\n\n\n<ol type=\"1\">\n<li style=\"list-style-type: none;\">\n<ol type=\"1\"><\/p>\n<li>A First Course in Abstract Algebra, John B. Fraleigh<\/li>\n\n\n<li>Topics in Algebra,\u00a0 I. N. Herstein<\/li>\n\n\n<li>Abstract Algebra, I. N. Herstein<\/li>\n\n\n<li>Algebra, Michael Artin<\/li>\n\n\n<li>Modern Algebra, Surjeet Singh &amp; Qazi Zameeruddin<\/li>\n\n\n<li>Basic Abstract Algebra, P.B. Bhattacharya, S. K. Jain &amp; S. R. Nagpaul<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n\n\n<p>&nbsp;<\/p>\n<p>[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n<\/section>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_column_text] Course:\u00a0\u00a0MAT 321 2.0 Abstract Algebra (Compulsory) Course Content: A few Preliminary Remarks, The Integers, Mathematical Induction, Archimedian Property; Definitions and Examples of Groups, Some Simple Remarks, Commutative and non-commutative groups, The group of integers modulo n (Zn , +), Subgroups, Lagrange\u2019s Theorem, Homomorphisms and Normal Subgroups, Factor Groups, The Homomorphism Theorems; Definitions and Examples &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/mat-321-2-0-abstract-algebra\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">MAT 321 2.0 Abstract Algebra<\/span><\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_ti_tpc_template_sync":false,"_ti_tpc_template_id":"","footnotes":""},"_links":{"self":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4666"}],"collection":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/comments?post=4666"}],"version-history":[{"count":2,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4666\/revisions"}],"predecessor-version":[{"id":4669,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/4666\/revisions\/4669"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=4666"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}