دانلود کتاب Monoids, Acts and Categories: With Applications to Wreath Products and Graphs. A Handbook for Students and Researchers

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Foreword\nIntroduction\nI Elementary properties of monoids, acts and categories\n1 Sets and relations\n2 Groupoids, semigroups and monoids\n3 Some classes of semigroups\n4 Acts over monoids (monoid automata)\n5 Decompositions and components\n6 Categories\n7 Functors\nII Constructions\n1 Products and coproducts\n2 Pullbacks and pushouts\n3 Free objects and generators\n4 Cofree objects and cogenerators\n5 Tensor products\n6 Wreath products of monoids and acts\n7 The wreath product of a monoid with a small category\nIII Classes of acts\n1 Injective acts\n2 Divisible acts\n3 Principally weakly injective acts\n4 fg-weakly injective acts\n5 Weakly injective acts\n6 Absolutely pure acts\n7 Cogenerators and overview\n8 Torsion free acts\n9 Flatness of acts and related properties\n10 Principally weakly flat acts\n11 Weakly flat acts\n12 Flat acts\n13 Acts satisfying Condition (P)\n14 Acts satisfying Condition (E)\n15 Equalizer flat acts\n16 Pullback flat acts and overview\n17 Projective acts\n18 Generators\n19 Regular acts and overview\nIV Homological classification of monoids\n1 Principal weak injectivity\n2 On fg-weak injectivity\n3 Weak injectivity\n4 Absolute purity\n5 Injectivity and overview\n6 Torsion freeness and principal weak flatness\n7 Weak flatness\n8 Flatness\n9 Condition (P)\n10 Strong flatness\n11 Projectivity\n12 Projective generators\n13 Freeness and overview\n14 Regularity of acts\nV Equivalence and Duality\n1 Adjoint functors\n2 Categories equivalent to Act — S\n3 Morita equivalence of monoids\n4 Endomorphism monoids of generators\n5 On Morita duality\nBibliography\nIndex of symbols\nIndex