Abstract Algebra (SEME 119)
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Date
2022
Authors
Journal Title
Journal ISSN
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Publisher
Don Mariano Marcos Memorial State University - North La Union Campus
Abstract
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
Keywords
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.