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Unit 3: Algebraic systems6 min read

Groups and Abelian Groups

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CSE/SY Sem 3

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Discrete Mathematical Structures

6 Modules

Foundations of Propositional Logic Propositional Equivalences and Tautologies Special Connectives and Functional Completeness Boolean Logic and Bit Operations Operator Precedence and Polish Notation

Functions and Their Properties Binary Relations and Equivalence Posets and Hasse Diagrams Foundations of Set Theory Set Operations and Identities

Algebraic Systems and Binary Operations Semigroups and Subsemigroups Monoids and Submonoids Groups and Abelian Groups Subgroups and Homomorphisms

Introduction to Lattices and Posets Algebraic Properties and Lattice Operations Substructures, Products, and Homomorphisms Distributive, Bounded, and Complemented Lattices

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Introduction to Graphs and Basic Properties Paths, Reachability, and Connectivity Matrix Representations of Graphs Trees and Their Properties Special Graphs, Planarity, and Theorems Practical Applications of Graphs

Discrete Mathematical Structures

6 Modules

Foundations of Propositional Logic Propositional Equivalences and Tautologies Special Connectives and Functional Completeness Boolean Logic and Bit Operations Operator Precedence and Polish Notation

Functions and Their Properties Binary Relations and Equivalence Posets and Hasse Diagrams Foundations of Set Theory Set Operations and Identities

Algebraic Systems and Binary Operations Semigroups and Subsemigroups Monoids and Submonoids Groups and Abelian Groups Subgroups and Homomorphisms

Introduction to Lattices and Posets Algebraic Properties and Lattice Operations Substructures, Products, and Homomorphisms Distributive, Bounded, and Complemented Lattices

Content unavailableSoon

Introduction to Graphs and Basic Properties Paths, Reachability, and Connectivity Matrix Representations of Graphs Trees and Their Properties Special Graphs, Planarity, and Theorems Practical Applications of Graphs