LEADER 03550nam 2200673I 450 001 9910818721903321 005 20231206204152.0 010 $a1-351-98974-X 010 $a1-315-27322-5 010 $a1-4822-9316-1 010 $a1-4822-7668-2 010 $a1-280-20235-1 010 $a9786610202355 010 $a0-203-91366-3 010 $a0-8247-5718-1 035 $a(CKB)111090425043028 035 $a(EBL)215930 035 $a(OCoLC)437067442 035 $a(SSID)ssj0000155509 035 $a(PQKBManifestationID)11148932 035 $a(PQKBTitleCode)TC0000155509 035 $a(PQKBWorkID)10112017 035 $a(PQKB)11713908 035 $a(Au-PeEL)EBL215930 035 $a(CaPaEBR)ebr11164156 035 $a(CaONFJC)MIL20235 035 $a(FlBoTFG)9781315273228 035 $a(PPN)17023603X 035 $a(FR-PaCSA)41000782 035 $a(MiAaPQ)EBC215930 035 $a(EXLCZ)99111090425043028 100 $a20190122h20172004 uy 0 101 0 $aeng 135 $aur||| ||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA First Graduate Course in Abstract Algebra /$fby W.J. Wickless 205 $aFirst edition. 210 1$aBoca Raton, FL :$cCRC Press,$d[2017]. 210 4$dİ2004. 215 $a1 online resource (232 p.) 225 1 $aMonographs and textbooks in pure and applied mathematics ;$v266 300 $aDescription based upon print version of record. 311 $a0-8247-5627-4 320 $aIncludes bibliographical references and index. 327 $aPreface; Contents; Groups (mostly finite); Rings (mostly domains); Modules; Vector spaces; Fields and Galois theory; Topics in Noncommutative Rings; Group extensions; Topics in abelian groups; References; Index 330 3 $aSince abstract algebra is so important to the study of advanced mathematics, it is critical that students have a firm grasp of its principles and underlying theories before moving on to further study. To accomplish this, they require a concise, accessible, user-friendly textbook that is both challenging and stimulating. A First Graduate Course in Abstract Algebra is just such a textbook.Divided into two sections, this book covers both the standard topics (groups, modules, rings, and vector spaces) associated with abstract algebra and more advanced topics such as Galois fields, noncommutative rings, group extensions, and Abelian groups. The author includes review material where needed instead of in a single chapter, giving convenient access with minimal page turning. He also provides ample examples, exercises, and problem sets to reinforce the material. This book illustrates the theory of finitely generated modules over principal ideal domains, discusses tensor products, and demonstrates the development of determinants. It also covers Sylow theory and Jordan canonical form.A First Graduate Course in Abstract Algebra is ideal for a two-semester course, providing enough examples, problems, and exercises for a deep understanding. Each of the final three chapters is logically independent and can be covered in any order, perfect for a customized syllabus. 410 0$aMonographs and textbooks in pure and applied mathematics ;$v266. 606 $aAlgebra, Abstract 615 0$aAlgebra, Abstract. 676 $a512/.02 700 $aWickless$b W.J.$01635739 801 0$bFlBoTFG 801 1$bFlBoTFG 906 $aBOOK 912 $a9910818721903321 996 $aA First Graduate Course in Abstract Algebra$93976684 997 $aUNINA