Definition - Transitive Relations | Relations - Introductory Abstract Algebra

1 week ago Meaning of transitive relations.
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Relations - Introductory Abstract Algebra
Relations - Introductory Abstract Algebra
This course builds up a key part of the foundation for abstract algebra—relations. We explore equivalence relations, partitions, orderings, and how they help us organize and understand mathematical structures. These ideas connect directly to how we define and work with algebraic systems like groups and rings. Clear, focused, and made for first-time learners stepping into abstract algebra.

This course builds up a key part of the foundation for abstract algebra—relations. We explore equivalence relations, partitions, orderings, and how they help us organize and understand mathematical structures. These ideas connect directly to how we define and work with algebraic systems like groups and rings. Clear, focused, and made for first-time learners stepping into abstract algebra.

This course is also part of the following learning track. You can join the track to gain comprehensive knowledge across related courses.
[UI, Ibadan] MAT 211/213: Abstract Algebra
[UI, Ibadan] MAT 211/213: Abstract Algebra
This learning track brings together the essential building blocks of abstract algebra in one clear, structured path. We begin with the fundamentals—set theory, relations, and mappings—to build the logical foundation for working with algebraic systems. Then we move into binary operations, groups, subgroups, and homomorphisms, helping you develop the tools to recognize structure and symmetry. The track wraps up with rings, fields, and key ideas from elementary number theory that tie everything together. Curated for second-year undergraduates in engineering and physical sciences at the University of Ibadan, but equally valuable for any learner stepping into abstract algebra for the first time. Clear, focused, and paced to guide you with both depth and intuition.

This learning track brings together the essential building blocks of abstract algebra in one clear, structured path. We begin with the fundamentals—set theory, relations, and mappings—to build the logical foundation for working with algebraic systems. Then we move into binary operations, groups, subgroups, and homomorphisms, helping you develop the tools to recognize structure and symmetry. The track wraps up with rings, fields, and key ideas from elementary number theory that tie everything together. Curated for second-year undergraduates in engineering and physical sciences at the University of Ibadan, but equally valuable for any learner stepping into abstract algebra for the first time. Clear, focused, and paced to guide you with both depth and intuition.