Branches that study algebraic structures in general, before any one kind of structure is singled out, together with the study of order. An entry belongs here when its cited source describes the general theory of sets with operations, the shared patterns of many structures, or partially ordered sets and lattices. It does not belong here when the branch is about one named family of structures such as groups, rings or fields, or about linear and representation methods, which have their own groups in this subcategory. The group covers the common language that the more specialised algebraic branches build on, and it is the place for the general survey of algebra itself.
All Algebraic Structures and Order
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Wikipedia: Algebra
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Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems.
View the Source Universal Algebra (Wikipedia)
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Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures in general, not specific types of algebraic structures.
View the Source Wikipedia: Order Theory
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Order theory is a branch of mathematics that investigates the intuitive notion of order using binary relations.
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