TY - BOOK ID - 77861820 TI - Quasi-Frobenius rings AU - Nicholson, W. Keith. AU - Yousif, M. F. PY - 2003 SN - 1107134234 1280419989 9786610419982 0511169590 0511205554 0511308442 0511546521 0511073569 0511065108 9780511065101 9780511073564 9780511546525 9780521815932 0521815932 0521815932 0511058772 9780511058776 PB - Cambridge ; New York : Cambridge University Press, DB - UniCat KW - Modules (Algebra). KW - Quasi-Frobenius rings. KW - Ring extensions (Algebra). KW - Algebra KW - Mathematics KW - Physical Sciences & Mathematics KW - QF rings KW - Rings, QF KW - Rings, Quasi-Frobenius KW - Associative rings UR - https://www.unicat.be/uniCat?func=search&query=sysid:77861820 AB - A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all four combinations are equivalent). The study of these rings grew out of the theory of representations of a finite group as a group of matrices over a field, and the subject is intimately related to duality, the duality from right to left modules induced by the hom functor and the duality related to annihilators. The present extent of the theory is vast, and this book makes no attempt to be encyclopedic; instead it provides an elementary, self-contained account of the basic facts about these rings at a level allowing researchers and graduate students to gain entry to the field. ER -