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010   $a9783030817558$b(electronic bk.)
010   $z9783030817541
024 7 $a10.1007/978-3-030-81755-8
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035   $a(CKB)19410356000041
035   $a(OCoLC)1285423660
035   $a(PPN)258436484
035   $a(BIP)82234220
035   $a(BIP)80653860
035   $a(DE-He213)978-3-030-81755-8
035   $a(EXLCZ)9919410356000041
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101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 14$aThe Theory of Near-Rings /$fby Robert Lockhart
205   $a1st ed. 2021.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021.
215   $a1 online resource (555 pages)
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2295
311 08$aPrint version: Lockhart, Robert The Theory of Near-Rings Cham : Springer International Publishing AG,c2021 9783030817541 
327   $a1 Stems, Mappings and Near-Rings -- 2 Near-Ring Theory -- 3 Near-Fields -- 4 Near-Rings on Groups with Low Order -- 5 Near-Rings on Some Families of Groups -- 6 Near-Rings Hosted by p-Groups and Related Groups -- 7 Transformation Near-Rings -- 8 Generalisations and Sub-Near-Rings of Transformation Near-Rings -- 9 Phomomorphisms -- 10 Specific Examples -- 11 Modules -- 12 Radicals -- 13 Matrices -- 14 F-Near-Rings -- 15 Product Theory -- 16 Product Theory on Finite Elementary Abelian Groups -- A Isotopy -- B Near-Ring Products on D4 -- C Other Structures of Interest -- D Semi-Linear Mappings -- E Zsigmondy's Theorem -- Bibliography -- Afterword -- Index.
330   $aThis book offers an original account of the theory of near-rings, with a considerable amount of material which has not previously been available in book form, some of it completely new. The book begins with an introduction to the subject and goes on to consider the theory of near-fields, transformation near-rings and near-rings hosted by a group. The bulk of the chapter on near-fields has not previously been available in English. The transformation near-rings chapters considerably augment existing knowledge and the chapters on product hosting are essentially new. Other chapters contain original material on new classes of near-rings and non-abelian group cohomology. The Theory of Near-Rings will be of interest to researchers in the subject and, more broadly, ring and representation theorists. The presentation is elementary and self-contained, with the necessary background in group and ring theory available in standard references.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v2295
606   $aAssociative rings
606   $aAssociative algebras
606   $aAssociative Rings and Algebras
615  0$aAssociative rings.
615  0$aAssociative algebras.
615 14$aAssociative Rings and Algebras.
676   $a512.4
700   $aLockhart$b Robert$c(Mathematician),$01253207
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a9910508454403321
996   $aThe theory of near-rings$92905347
997   $aUNINA