@article{1451549, recid = {1451549}, author = {Chirivì, Rocco, and Del Corso, Ilaria, and Dvornicich, Roberto,}, title = {Selected exercises in algebra., Volume 2 /}, publisher = {Springer,}, address = {Cham, Switzerland :}, pages = {1 online resource.}, year = {2022}, note = {Includes index.}, abstract = {This book, the second of two volumes, contains approximately 350 exercises in Algebra which have featured exam questions for the Algebraic Structure and Algebra I courses taught by the authors at the University of Pisa. Each exercise is presented together with one or more solutions, carefully written with consistent language and notation. A distinguishing feature of this book is the fact that each exercise is unique and requires some creative thinking to be solved. The themes covered in this volume are: group theory and Sylow theorems, commutative rings with an emphasis on unique factorisation, Gaussian integers, field extensions and Galois theory. The book includes a detailed section recalling relevant theory that can be used as a reference for study and revision. A list of preliminary exercises introduces the main techniques to be applied in solving the proposed exam questions. This volume is aimed at second year students in Mathematics and Computer science.}, url = {http://library.usi.edu/record/1451549}, doi = {https://doi.org/10.1007/978-3-031-12651-2}, }