AMERICAN MATHEMATICA L SOCIET Y TRANSLATIONS

Series 2

V o l u m e 5 8

TWELVE PAPER S O N ALGEBRA ,

NUMBER THEOR Y AN D TOPOLOG Y

by

S. P. Demuskin A . P. Novikov L . N. Sevrin -N. I. Fel'dman B . D.Romm E . G. Skljarenko A. H. Livsic I . R. Safarevic I . M. Vinogradov

Published by the

AMERICAN MATHEMATICA L SOCIET Y Providence, Rhode Island

1966

http://dx.doi.org/10.1090/trans2/058

Copyright © 196 6 by the American Mathematical Society

Published under Grant NSF-GN41 0 from th e

NATIONAL SCIENC E FOUNDATIO N

Library of Congress Catalog Number A51-5559

Printed in the United States of America

All Rights Reserved No portion of this book may be reproduced

without the written permission of the publisher

TABLE O F CONTENT S

Page

L ivs i c , A . H. Summatio n o f mapping s an d the concep t o f cente r i n

categories. [JIWBUIMU; , A . X . CyMMwpOBaHn e oTo6pa>Kemi M H noHHTwe

ijeHTpa B KaTeropwflx.] Mat . Sb . 60(102 ) (1963) , 159-18 4 1

Livs ic , A . H.; Calenko , M . S. and Sul'geifer, E . G . Varietie s i n categories .

[JIMBIUMD;, A. X. ; U(ajieHKo , M . C. M Ulyjibrewjjep , E . T . MHoro -

o6pa3wa B KaTeropwnx.] Mat . Sb . 63(105) (1964) , 554-58 1 2 9

Livs ic , A . H . Category-th e ore tic foundation s o f th e dualit y o f radicalit y

and semisimplicity . [JIidBllMU U A. X . TeopeTKKO-KaTeropHbi e OCHOBb I

ABOMCTBeHHOCTH paflWKaJIbHOCT M W IIOJiynpOCTOTbl.J S i b i r s k . Mat . Z. 5

(1964), 319-33 6 5 7

Sevrin, L . N . Lat t ic e isomorphism s o f commutativ e aperiodi c semigroup s

with cancellat ion . [UleBpMH , JI. H. OrpyKTypHbi e M30M0p(|)W3Mb I

KOMMyTaTWBHbix HenepwoAKqecKw x nojiyrpyn n c 3aK0H0 M coKpamemifl. ]

Mat. Sb . 63(105) (1964) , 4 3 - 5 8 7 7

Vinogradov, I . M . O n the number o f integra l point s i n a give n domain .

[BwHorpaAOB, M. M. K Bonpoc y o qwcn e ijejibi x Toqe K B 3aAanHoM

06jiacTK.] Izv . Akad. Nau k SSS R Ser . Mat. 24 (I960), 777-78 6 9 3

Vinogradov, I . M . O n the number o f integra l point s i n a three-dimensiona l

region. [BwHorpaflOB , M . M. 0 qwcji e ijejibi x Toqe K B o6jiacrn Tpe x

H3MepeHHW.] Izv . Akad. Nau k SSS R Ser . Mat. 27 (1963) , 3 - 8 10 4

F e l d m a n , N . I . O n the measur e o f transcendenc e o f n. [$ejlbAMaH , H . M.

0 Mep e TpaHCqeHAeHTHOCT H qncji a n] Izv . Akad. Nau k SSS R Ser . Mat.

24(1960) , 357-36 8 11 0

Fel 'dman, N . I. Approximatio n o f th e logarithm s o f algebrai c number s b y

algebraic numbers . [^ejibflMaH , H . M . 0 npw6jina

Page

Romm, B. D. Analogu e o f th e Plancherel formul a fo r the real unimodula r

group o f the nth order . [PoMM , B . /J. AHaJlo r (J)OpMyjlb I nJiaHmepeJlf l

AJifl BemecTBeHHO H yHWMOAyJiHpHoi i rpynn w n-ro nopaflKa. ] Izv . Akad .

NaukSSSR Ser . Mat. 29(1965), 1147-120 2 15 5

Skljarenko, E . G. Som e question s i n the theor y o f bicompactifications .

[CKJiapeHKO, E. T . HeKOTopw e Bonpoc w Teopw w SuKOMnaKTHbi x

paciuwpeHMM.] Izv . Akad. NaukSSS R Ser . Mat. 26 (1962) , 427-45 2 21 6

Demuskin, S . P . an d Safarevic, I . R. Th e second obstructio n fo r the

imbedding proble m o f algebraic numbe r fields . [/JeMyillKMH , C . II. M

UlatJmpeBwq, M . P. BTopo e npenHTCTBw e AJI H 3aAaq n norpy^ceHn a

nojiefi a^reSpanqecKw x qwceji. ] Izv . Akad . Nau k SSS R Ser . Mat .

26 (1962) , 911-92 4 24 5

IV

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