Fundamental Structures of Algebra and Discrete MathematicsJohn Wiley & Sons, 14 févr. 2011 - 344 pages Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and results relevant to current research are proved rigorously within the theory of each structure. Throughout the text the reader is frequently prompted to perform integrated exercises of verification and to explore examples. |
Autres éditions - Tout afficher
Expressions et termes fréquents
A₁ affine geometry algebraic closure system axioms belongs bijection binary operation binary relation Boolean lattice called Card cardinal chain Chapter chromatic polynomial closed sets closure operator coincides commutative complement congruence containing convex coset covering graph covering relation cycle cyclic defined denoted disjoint distributive lattice equipotent Euclidean example field F filter finite set flat formal theory function f geometric lattice given graph G group G groupoid Helly number homomorphism ideal identity implies injective integer intersection inverse isomorphic Lemma linear mathematical matroid maximal median modular monoid morphism multiplicative natural number nonzero normal subgroup Obviously ordered set ordinal function permutation group power set preorder prime Proof Proposition quotient reader real numbers ring root semigroup Show singleton structure sublattice subring subset subspace surjective Theorem tion topological space topology Tutte polynomial ultrafilter unique universal algebra vector space Verify vertex write