Tomasz Brzezinski,Robert Wisbauer's Corings and Comodules (London Mathematical Society Lecture PDF

By Tomasz Brzezinski,Robert Wisbauer

ISBN-10: 0511546491

ISBN-13: 9780511546495

ISBN-10: 0521539315

ISBN-13: 9780521539319

Corings and comodules are primary algebraic buildings, which might be considered either dualisations and generalisations of earrings and modules. brought via Sweedler in 1975, just recently they've been proven to have a ways attaining functions starting from the class thought together with differential graded different types via classical and Hopf-type module idea to non-commutative geometry and mathematical physics. this is often the 1st vast therapy of the idea of corings and their comodules. within the first half, the module-theoretic features of coalgebras over commutative earrings are defined. Corings are then outlined as coalgebras over non-commutative earrings. themes coated comprise module-theoretic facets of corings, comparable to the relation of comodules to big subcategories of the class of modules (sigma-type categories), connections among corings and extensions of earrings, houses of recent examples of corings linked to entwining buildings, generalisations of bialgebras corresponding to bialgebroids and susceptible bialgebras, and the looks of corings in non-commutative geometry.

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Corings and Comodules (London Mathematical Society Lecture Note Series) by Tomasz Brzezinski,Robert Wisbauer

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