Download PDF by Tomasz Brzezinski,Robert Wisbauer: Corings and Comodules (London Mathematical Society Lecture

By Tomasz Brzezinski,Robert Wisbauer

ISBN-10: 0511546491

ISBN-13: 9780511546495

ISBN-10: 0521539315

ISBN-13: 9780521539319

Corings and comodules are basic algebraic constructions, that are considered either dualisations and generalisations of earrings and modules. brought by way of Sweedler in 1975, just recently they've been proven to have a long way achieving functions starting from the class thought together with differential graded different types via classical and Hopf-type module conception to non-commutative geometry and mathematical physics. this can be the 1st huge therapy of the speculation 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 jewelry. themes coated contain module-theoretic elements of corings, similar to the relation of comodules to important subcategories of the class of modules (sigma-type categories), connections among corings and extensions of jewelry, houses of recent examples of corings linked to entwining constructions, 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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