@book{jech,
  author    = {Jech,Thomas J.},
  year      = {2002},
  title     = {Set Theory},
  publisher = {Springer},
  address   = {Berlin},
  edition   = {3rd millennium, revised and expanded},
  abstract  = {Set Theory has experienced a rapid development in recent years, with major advances in forcing, inner models, large cardinals and descriptive set theory. The present book covers each of these areas, giving the reader an understanding of the ideas involved. It can be used for introductory students and is broad and deep enough to bring the reader near the boundaries of current research. Students and researchers in the field will find the book invaluable both as a study material and as a desktop reference.},
  keywords  = {Computer science; Logic, Symbolic and mathematical; Mathematical Logic and Formal Languages; Mathematical Logic and Foundations; Mathematics; Mathematics and Statistics; Set theory},
  isbn      = {1439-7382},
  language  = {English}
}

@book{jacobson,
  title     = {Basic Algebra I},
  author    = {Jacobson, N.},
  isbn      = {9780486135229},
  series    = {Dover Books on Mathematics},
  edition   = {2nd},
  url       = {https://books.google.ca/books?id=JHFpv0tKiBAC},
  year      = {2012},
  publisher = {Dover Publications}
}

@book{herstein,
  author    = {Herstein,I. N.},
  year      = {1975},
  title     = {Topics in Algebra},
  publisher = {Wiley},
  address   = {New York, NY},
  edition   = {2nd},
  keywords  = {Algebra},
  isbn      = {047102371X;9780471023715;},
  language  = {English}
}

@book{rotman,
  author    = {Rotman,Joseph J.},
  year      = {1995},
  title     = {An Introduction to the Theory of Groups},
  publisher = {Springer},
  address   = {New York, NY},
  edition   = {4th},
  abstract  = {Anyone who has studied "abstract algebra" and linear algebra as an undergraduate can understand this book. This edition has been completely revised and reorganized, without however losing any of the clarity of presentation that was the hallmark of the previous editions. The first six chapters provide ample material for a first course: beginning with the basic properties of groups and homomorphisms, topics covered include Lagrange's theorem, the Noether isomorphism theorems, symmetric groups, G-sets, the Sylow theorems, finite Abelian groups, the Krull-Schmidt theorem, solvable and nilpotent groups, and the Jordan-Holder theorem. The middle portion of the book uses the Jordan-Holder theorem to organize the discussion of extensions (automorphism groups, semidirect products, the Schur-Zassenhaus lemma, Schur multipliers) and simple groups (simplicity of projective unimodular groups and, after a return to G-sets, a construction of the sporadic Mathieu groups).},
  keywords  = {Group theory; Group Theory and Generalizations; Mathematics; Mathematics and Statistics},
  isbn      = {0072-5285},
  language  = {English}
}

@book{lang,
  author    = {Lang,Serge},
  year      = {2002},
  title     = {Algebra},
  publisher = {Springer},
  address   = {New York, NY},
  volume    = {211},
  edition   = {Revised 3rd},
  abstract  = {This book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text. Comments on Serge Lang's Algebra: Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books. April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P. Steele Prize for Mathematical Exposition for his many mathematics books. The author has an impressive knack for presenting the important and interesting ideas of algebra in just the "right" way, and he never gets bogged down in the dry formalism which pervades some parts of algebra. MathSciNet's review of the first edition},
  keywords  = {Algebra; Group theory; Mathematics; Matrix theory},
  isbn      = {1461265517;9781461265511;9781461300410;146130041X;},
  language  = {English}
}

@book{dummitfoote,
  author    = {Dummit,David S. and Foote,Richard M.},
  year      = {2004},
  title     = {Abstract Algebra},
  publisher = {Wiley},
  address   = {Hoboken, NJ},
  edition   = {3rd},
  keywords  = {Algebra, Abstract},
  isbn      = {9780471433347;0471433349;},
  language  = {English}
}

@book{halmos,
  author    = {Halmos,P. R.},
  year      = {2012},
  title     = {Finite-Dimensional Vector Spaces},
  publisher = {Springer Nature},
  address   = {Netherlands},
  abstract  = {"The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other "modern" textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all, this is an excellent work, of equally high value for both student and teacher." Zentralblatt fur Mathematik},
  keywords  = {Algebra & number theory; Transformations (Mathematics); Vector spaces},
  isbn      = {1461263875;9781461263876;0387900934;9780387900933;},
  language  = {English}
}

@book{roman,
  author    = {Roman,Steven},
  year      = {2007},
  title     = {Advanced Linear Algebra},
  publisher = {Springer},
  address   = {New York, NY},
  edition   = {3rd},
  abstract  = {This graduate level textbook provides encyclopedic treatment of linear algebra theory, both classical and modern. This new edition has been revised and expanded with many new chapters.;This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presents a thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory, culminating in the finite dimensional spectral theorem for normal operators. The new edition has been revised and contains a chapter on the QR decomposition, singular values and pseudoinverses, and a chapter on convexity, separation and positive solutions to linear systems.;},
  keywords  = {Algebra & number theory; Algebras, Linear},
  isbn      = {9780387728315;0387728317;9781441924988;1441924981;9780387728285;0387728287;},
  language  = {English}
}

@book{eisenbud,
  title     = {Commutative Algebra: With a View Toward Algebraic Geometry},
  author    = {Eisenbud, D.},
  isbn      = {9780387942698},
  lccn      = {94017351},
  series    = {Graduate Texts in Mathematics},
  url       = {https://books.google.ca/books?id=Fm_yPgZBucMC},
  year      = {1995},
  publisher = {Springer}
}

@book{atiyahmacdonald,
  author    = {Atiyah,Michael F. and MacDonald,I. G.},
  year      = {1994},
  title     = {Introduction to Commutative Algebra},
  publisher = {Taylor \& Francis Group},
  address   = {Milton},
  edition   = {1st},
  abstract  = {This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.;This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read.;},
  keywords  = {Commutative algebra; Commutative rings; Rings (Algebra)},
  isbn      = {9780201407518;0201407515;},
  language  = {English}
}

@book{maclane,
  author    = {Mac Lane,Saunders},
  year      = {1978},
  title     = {Categories for the Working Mathematician},
  publisher = {Springer},
  address   = {New York, NY},
  edition   = {2nd},
  abstract  = {Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories.},
  keywords  = {K-Theory; Mathematics; Mathematics and Statistics},
  isbn      = {0072-5285},
  language  = {English}
}