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In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements. [1] . Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field.
Algebra abstrakcyjna (dawniej algebra współczesna) – dział matematyki badający struktury algebraiczne za pomocą ich homomorfizmów i innych narzędzi. Niekiedy za części algebry abstrakcyjnej uznaje się także następujące dyscypliny matematyczne: algebrę liniową, elementarną teorię liczb i matematykę dyskretną.
A textbook for a course on abstract algebra, covering sets, functions, equivalence relations, groups, rings, fields and Galois theory. Learn the basic definitions, properties and examples of algebraic structures and their applications.
A free, open source textbook for an undergraduate course in abstract algebra, covering groups, rings, fields, and applications. Includes exercises, solutions, hints, and Sage software for exploring new results and theory.
29 lip 2024 · Learn the basics of abstract algebra, a branch of mathematics that studies algebraic structures such as groups, rings, fields, and modules. Explore the history, fundamental concepts, key structures, important theorems, and applications of abstract algebra.
1 sie 2024 · A free online textbook for college students learning abstract algebra, with exercises, applications, and Sage technology. The book covers group theory, rings, fields, and Galois theory, and is updated annually.
A textbook on abstract algebra by Judson, covering topics such as groups, rings, fields, vector spaces, and cryptography. The book is available online as a PDF or in HTML format, and includes exercises, examples, and references.
