TY - BOOK AU - Brešar Matej TI - Undergraduate Algebra: A Unified Approach SN - 9783030140526 U1 - 512 First PY - 2019/// CY - Swizerland PB - Springer International Publishing KW - Abstract Algebra KW - Groups KW - Rings KW - Fields KW - Homomorphisms N1 - Glossary of Basic Algebraic Structures Examples of Groups and Rings Homomorphisms Quotient Structures Commutative Rings Finite Groups Field Extensions Frequently Used Symbols N2 - Undergraduate Algebra: A Unified Approach presents abstract algebra through a novel lens by treating analogous concepts across various algebraic structures simultaneously. This method enhances clarity and reduces redundancy, making the material more accessible. The book is divided into two main sections: The Language of Algebra: Introduces foundational algebraic structures—such as groups, rings, and fields—by exploring their commonalities and differences. Algebra in Action: Delves into more advanced topics, including the Sylow theorems, modules over principal ideal domains, and Galois theory ER -