LEADER 03405nam0 22005173i 450 001 VAN00261499 005 20260625021801.41 017 70$2N$a9783642510380 035 40$a1591439256 100 $a20230717d1980 |0itac50 ba 101 $aeng 102 $aDE 105 $a|||| ||||| 181 $ai$b e 182 $ab 183 $acr 200 1 $aAlgebras in Genetics$fAngelika Wörz-Busekros 210 $aBerlin$cSpringer$d1980 215 $avi, 241 p.$d24 cm 327 $aThe purpose of these notes is to give a rather complete presentation of the mathematical theory of algebras in genetics and to discuss in detail many applications to concrete genetic situations. Historically, the subject has its origin in several papers of Etherington in 1939- 1941. Fundamental contributions have been given by Schafer, Gonshor, Holgate, Reiers¢l, Heuch, and Abraham. At the moment there exist about forty papers in this field, one survey article by Monique Bertrand from 1966 based on four papers of Etherington, a paper by Schafer and Gonshor's first paper. Furthermore Ballonoff in the third section of his book "Genetics and Social Structure" has included four papers by Etherington and Reiers¢l's paper. Apparently a complete review, in par­ ticular one comprising more recent results was lacking, and it was difficult for students to enter this field of research. I started to write these notes in spring 1978. A first german version was finished at the end of that year. Further revision and translation required another year. I hope that the notes in their present state provide a reasonable review and that they will facilitate access to this field. I am especially grateful to Professor K. -P. Hadeler and Professor P. Holgate for reading the manuscript and giving essential comments to all versions of the text. I am also very grateful to Dr. I. Heuch for many discussions during and after his stay in TUbingen. I wish to thank Dr. V. M. 410 1$1001VAN00256120$12001 $aLecture Notes in Biomathematics$1210 $aBerlin$cSpringer$d1974-1993.$v36 606 $a17-XX$xNonassociative rings and algebras [MSC 2020]$3VANC021290$2MF 606 $a17A60$xStructure theory for nonassociative algebras [MSC 2020]$3VANC038324$2MF 606 $a17D92$xGenetic algebras [MSC 2020]$3VANC025513$2MF 606 $a92D10$xGenetics and epigenetics [MSC 2020]$3VANC023325$2MF 610 $aAlgebra$9KW:K 610 $aBreeding$9KW:K 610 $aGenetics$9KW:K 610 $aHereditary$9KW:K 610 $aInheritance$9KW:K 610 $aPaper$9KW:K 610 $aPolyploidy$9KW:K 610 $aSegregation$9KW:K 610 $aStructure$9KW:K 610 $aTranslation$9KW:K 620 $dBerlin$3VANL000066 700 1$aWörz-Busekros$bAngelika$3VANV215867$0534573 712 $aSpringer $3VANV108073$4650 801 $aIT$bSOL$c20260911$gRICA 856 4 $uhttps://doi.org/10.1007/978-3-642-51038-0$zE-book ? Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o Shibboleth 899 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$1IT-CE0120$2VAN08 912 $fN 912 $aVAN00261499 950 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08DLOAD e-book 6255 $e08eMF6255 20230726 996 $aAlgebras in genetics$9910941 997 $aUNICAMPANIA