Abstract Algebra (SEME 119)
| creativework.keywords | Sets, subsets, binary operations, closure, associativity, identity element, inverse element, groups, abelian groups, subgroups, cyclic groups, generators, order of an element, order of a group, Lagrange's theorem, cosets, normal subgroups, quotient groups, factor groups, homomorphisms | |
| dc.contributor.author | Pascua, Christine B. | |
| dc.date.accessioned | 2026-07-10T05:48:35Z | |
| dc.date.available | 2026-07-10T05:48:35Z | |
| dc.date.issued | 2022 | |
| dc.description | Module 1 Preliminary Topics -- Modular Arithmetic -- Sets -- Functions and Relations -- Module 2 Groups -- Binary Operations -- Groups -- Elementary Properties of Groups -- Module 3 Subgroups -- Subgroups -- Cyclic Subgroups -- Module 4 Cyclic Groups -- Cyclic Groups -- Finite Cyclic Groups -- Module 5 Permutation Groups -- Permutations and the Symmetric Groups -- Orbits and Cycles -- Module 6 Cosets and Lagrange's Theorem -- Cosets -- Lagrange's Theorem -- Module 7 Group Homomorphisms -- Group Homomorphisms -- Properties of Homomorphisms -- Module 8 IsomorphismsIsomorphisms -- Automorphisms -- Module 9 Factor Groups and Normal Subgroups -- Factor Group -- Normal Subgroup -- Module 10 Introduction to Rings -- Definition, Properties and Examples of Rings -- Subrings | |
| dc.identifier.citation | Pascua, C. E. (2022). Abstract Algebra (SEME 119). [Instructional Materials, Don Mariano Marcos Memorial State University - North La Union Campus, Sapilang, Bacnotan, La Union]. Lakasa ti Sirib, DMMMSU Institutional Repository. | |
| dc.identifier.uri | https://lakasa.dmmmsu.edu.ph/handle/123456789/2147 | |
| dc.language.iso | en_US | |
| dc.publisher | Don Mariano Marcos Memorial State University - North La Union Campus | |
| dc.sdg | SDG 4 | |
| dc.title | Abstract Algebra (SEME 119) | |
| dc.type | Instructional Material |