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О хекоторых специальных типах категорий

О хекоторых специальных типах категорий Acta ~Vlathematica Academiae Scientiarum Hungaricae Tomus 26 (1--2), (1975), 53--73. O HEKOTOPBIX CFIE~HAYlBHBIX THFIAX KATEFOPHIYI B. B. MACJIOB (BopommJo~rpa~l) rlpu Hani~ca~r~ 3TOITI pa6ow~i 6~,~om nocxaBJieH~! ca~eaymm~e ~e~n: 1) ~,~ae3~,~, Ta~ne w~m~,I ~mTeropn~, z I~OTOp~,IX 6~,InO 6~,~ ~O3~OXmO onpeae- ae~ae auanoroB no~arg~ ~oaycnuzorIoreHnoro ~ C~UTonorenHoro npocTpaUcTU; 2) naMexnx~, nyw~ pa3B~Tna y~a3am~,ix nOH,Tm?; 3) paccMozpew~ npHMep~,,, r~3mcTpr~pylom~e Teopexrmec~e no,,3OXmHnm w 1. Ocno~mae onpe~eaen~ ~ npn~ep~i 1. Ka~ 06~,~UHO CnMBOn g 6yaex o6o3tm~Ia~,, He~oxopym ~axeropnm, X, Y, Z XBY. Onpe~IeaeRHe 1. KaTeropnm ~ Ha3OBeM tcameeopue~ muna C1 (nn~I C1- ~ameeopue~ O, ec~n BLmO~I~nmTC~ c~e~ymm,e ycaoBn~ (axCnOM~I): (C[) n3 ~eKoTOp~Ix Me~oX~eCTB Horn(X, Y) ~bi~eneP, Lr nOAM~oX<ecTBa Homb (X,(Y) Homn (X,Y), na3bmaeM~e (COOZm) ~tnow, cecmeo~t eJtoatcenu~ o&,e,cma X e o&,eKm Y u ~moatcecmeo~ ~aAoa~cenu~ X ~a I7, np~qeM MHO~eCTBO Hom~(X, 11) d~ Homb(X, Y)NHomn(X, Y) conep~nT Mno~ecTBo I430MOpC~I3MOB X-~Y; (C~') ec~n X, Y, Z -- Tar~e 06~e~T~ ~aTerop~ ~, n~ ~OTOp~x ~ine~e~i Bce Mno~eCTBa Hom~ (X, Y), Hom~ (Y, Z), Hom~ (X, Z), Homa (X, Y), HomH(Y, Z), HOmH(X, Z), TO 1) (Vf)(Vg)((f,g)~Som~ (X, Y)� (Y,Z) ~gof~Hom~ (X, Z)), 2) (V f) (gg) ((f, g) ~ HomH (J;', I1) >( Homu(Y, Z) =* gof~ Homn (X, Z)). IIpea:~o~e~e 1. ~aa ~r o6~e~:ma X us http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematica Academiae Scientiarum Hungarica Springer Journals

О хекоторых специальных типах категорий

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Publisher
Springer Journals
Copyright
Copyright
Subject
Mathematics; Mathematics, general
ISSN
0001-5954
eISSN
1588-2632
DOI
10.1007/BF01895948
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Abstract

Acta ~Vlathematica Academiae Scientiarum Hungaricae Tomus 26 (1--2), (1975), 53--73. O HEKOTOPBIX CFIE~HAYlBHBIX THFIAX KATEFOPHIYI B. B. MACJIOB (BopommJo~rpa~l) rlpu Hani~ca~r~ 3TOITI pa6ow~i 6~,~om nocxaBJieH~! ca~eaymm~e ~e~n: 1) ~,~ae3~,~, Ta~ne w~m~,I ~mTeropn~, z I~OTOp~,IX 6~,InO 6~,~ ~O3~OXmO onpeae- ae~ae auanoroB no~arg~ ~oaycnuzorIoreHnoro ~ C~UTonorenHoro npocTpaUcTU; 2) naMexnx~, nyw~ pa3B~Tna y~a3am~,ix nOH,Tm?; 3) paccMozpew~ npHMep~,,, r~3mcTpr~pylom~e Teopexrmec~e no,,3OXmHnm w 1. Ocno~mae onpe~eaen~ ~ npn~ep~i 1. Ka~ 06~,~UHO CnMBOn g 6yaex o6o3tm~Ia~,, He~oxopym ~axeropnm, X, Y, Z XBY. Onpe~IeaeRHe 1. KaTeropnm ~ Ha3OBeM tcameeopue~ muna C1 (nn~I C1- ~ameeopue~ O, ec~n BLmO~I~nmTC~ c~e~ymm,e ycaoBn~ (axCnOM~I): (C[) n3 ~eKoTOp~Ix Me~oX~eCTB Horn(X, Y) ~bi~eneP, Lr nOAM~oX<ecTBa Homb (X,(Y) Homn (X,Y), na3bmaeM~e (COOZm) ~tnow, cecmeo~t eJtoatcenu~ o&,e,cma X e o&,eKm Y u ~moatcecmeo~ ~aAoa~cenu~ X ~a I7, np~qeM MHO~eCTBO Hom~(X, 11) d~ Homb(X, Y)NHomn(X, Y) conep~nT Mno~ecTBo I430MOpC~I3MOB X-~Y; (C~') ec~n X, Y, Z -- Tar~e 06~e~T~ ~aTerop~ ~, n~ ~OTOp~x ~ine~e~i Bce Mno~eCTBa Hom~ (X, Y), Hom~ (Y, Z), Hom~ (X, Z), Homa (X, Y), HomH(Y, Z), HOmH(X, Z), TO 1) (Vf)(Vg)((f,g)~Som~ (X, Y)� (Y,Z) ~gof~Hom~ (X, Z)), 2) (V f) (gg) ((f, g) ~ HomH (J;', I1) >( Homu(Y, Z) =* gof~ Homn (X, Z)). IIpea:~o~e~e 1. ~aa ~r o6~e~:ma X us

Journal

Acta Mathematica Academiae Scientiarum Hungarica – Springer Journals

Published: May 21, 2016

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