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Discrete Mathematical Structures
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Binary Tree
A tree data structure in which each node has at most two children.
Monoid
A semigroup with an identity element.
Abelian Group
A group where the operation is commutative.
Group
A monoid where every element has an inverse.
Boolean Algebra
A mathematical structure based on a set of binary variables, with operations AND, OR, and NOT, that follow specific laws.
Semigroup
A set equipped with an associative binary operation.
Field
A ring where every nonzero element has a multiplicative inverse, and multiplication is also commutative.
Graph
A set of vertices connected pairwise by edges.
Lattice
An abstract algebraic structure where every two elements have a unique supremum and infimum.
Ring
Consists of a set equipped with two binary operations, addition and multiplication, where addition forms an abelian group and multiplication is associative.
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