LEADER 00000cam a2200613Ia 4500 001 ocn733048134 003 OCoLC 005 20160527040552.9 006 m o d 007 cr mnu---unuuu 008 110627s2011 njua ob 001 0 eng d 010 2011281756 020 9789814329729|q(electronic book) 020 981432972X|q(electronic book) 020 |z9789814329712 020 |z9814329711 035 (OCoLC)733048134 040 N$T|beng|epn|cN$T|dEBLCP|dE7B|dYDXCP|dMHW|dOSU|dOCLCQ |dMERUC|dOCLCQ|dDEBSZ|dOCLCQ|dOCLCF|dOCLCQ 049 RIDW 050 4 QA247|b.C486 2011eb 072 7 MAT|x002040|2bisacsh 082 04 512.4|222 090 QA247|b.C486 2011eb 100 1 Chen, Huanyin.|0https://id.loc.gov/authorities/names/ no2011049629 245 10 Rings related to stable range conditions /|cHuanyin Chen. 264 1 New Jersey. :|bWorld Scientific,|c[2011] 264 4 |c©2011 300 1 online resource (xviii, 661 pages) :|billustrations. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 340 |gpolychrome|2rdacc 347 text file|2rdaft 490 1 Series in algebra,|x2010-281X ;|vv. 11 504 Includes bibliographical references (pages 629-655) and index. 505 0 Preface; Notational Conventions; Contents; 1. Stable Range One; 2. Unit 1-Stable Range; 3. On m-Fold Stable Rings; 4. Strongly Stable Rings; 5. Weakly Stable Rings; 6. Related Comparability; 7. Generalized Stable Rings; 8. QB-Rings; 9. PB-Rings; 10. Power-Cancellation; 11. Stably Euclidean Rings; 12. The n-Stable Range Condition; 13. Stable Range for Ideals; 14. Diagonal Reduction; 15. Clean Properties, I; 16. Clean Properties, II; 17. Abelian Rings and Exchange; Bibliography; Index. 520 This monograph is concerned with exchange rings in various conditions related to stable range. Diagonal reduction of regular matrices and cleanness of square matrices are also discussed. Readers will come across various topics: cancellation of modules, comparability of modules, cleanness, monoid theory, matrix theory, K-theory, topology, amongst others. This is a first-ever book that contains many of these topics considered under stable range conditions. It will be of great interest to researchers and graduate students involved in ring and module theories. 588 0 Print version record. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Rings (Algebra)|0https://id.loc.gov/authorities/subjects/ sh85114140 650 0 Modules (Algebra)|0https://id.loc.gov/authorities/subjects /sh85086470 650 7 Rings (Algebra)|2fast|0https://id.worldcat.org/fast/ 1098024 650 7 Modules (Algebra)|2fast|0https://id.worldcat.org/fast/ 1024523 655 0 Electronic books. 655 4 Electronic books. 776 08 |iPrint version:|aChen, Huanyin.|tRings related to stable range conditions.|dSingapore ; Hackensack, N.J. : World Scientific, ©2011|z9814329711|w(OCoLC)668195061 830 0 Series in algebra ;|0https://id.loc.gov/authorities/names/ n94034299|vv. 11. 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=373228|zOnline eBook. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading this eBook|uhttp:// guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20160616|cEBSCO|tebscoebooksacademic|lridw 994 92|bRID