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Book Review: Almost free modules. Set-theoretic methods

Laszlo Fuchs
1993 Bulletin of the American Mathematical Society  
Shelah's discovery marked the beginning of the modern era of applications of powerful set-theoretical methods in algebra. Since then a great deal of significant work has been done in the area.  ...  This unexpected result was a big surprise and drew immediately the attention to the relevance of set-theoretical techniques in solving purely algebraic problems.  ...  Almost Free Modules.  ... 
doi:10.1090/s0273-0979-1993-00333-1 fatcat:m6jcaglmfvc45il4boxiqbn2bu

Almost free modules and Mittag--Leffler conditions [article]

Dolors Herbera, Jan Trlifaj
2009 arXiv   pre-print
Two questions arise: (1) What is the structure of the class D of all flat Mittag--Leffler modules over a general ring?  ...  We answer (1) by showing that a module M is flat Mittag--Leffler, if and only if M is _1--projective in the sense of Eklof and Mekler.  ...  Similar methods were employed in constructing almost free non-projective modules in [10] .  ... 
arXiv:0910.4277v1 fatcat:pb433v5xevad5pwl3dsphdhjf4

Almost free modules and Mittag-Leffler conditions

Dolors Herbera, Jan Trlifaj
2012 Advances in Mathematics  
Two questions arise: (1) What is the structure of the class D of all flat Mittag-Leffler modules over a general ring?  ...  We answer (1) by showing that a module M is flat Mittag-Leffler, if and only if M is ℵ 1 -projective in the sense of Eklof and Mekler (2002) [10].  ...  Similar methods were employed in constructing almost free non-projective modules in [10] .  ... 
doi:10.1016/j.aim.2012.02.013 fatcat:jw6puqylyvhz3e4tayknruq2dq

MEASUREMENTS OF SURF BEAT AND SET-DOWN BENEATH WAVE GROUPS

J.K. Kostense
1984 Coastal Engineering Proceedings  
For the incident forced - or bound - wave, also known as set-down, the experimental results show good agreement with the existing theory.  ...  generation as well as active wave absorption at the paddle face - the wave action at the difference frequency was limited to an incident forced wave, propagating at the group velocity, and a reflected free  ...  bound long waves for almost fully modulated primary waves, ?  ... 
doi:10.9753/icce.v19.49 fatcat:5bh2luus7rcuvh4gsapx24dhhy

Page 6682 of Mathematical Reviews Vol. , Issue 92m [page]

1992 Mathematical Reviews  
The authors start from two free R-modules of countable rank, F and B, with completions F and B in a suitable adic-like topology; they define, via set-theoretical methods, a suitable R-module B with B C  ...  Under the set-theoretic assumption V = L, the authors construct large x-free A-modules H with Endr(H) = A@ Ines(H), a split extension of Ines(H) by A where Ines(H) is the set of all R- 13: COMMUTATIVE  ... 

Page 889 of Mathematical Reviews Vol. , Issue 2001B [page]

2001 Mathematical Reviews  
The method uses relative projectivity and the modules L,, studied by Carlson: L, is the kernel of the cocycle p. In this report on joint work with T.  ...  A finite rank torsion-free group G is almost completely For the web version of Mathematical Reviews, see http: //www.ams.org/mathscinet  ... 

Page 1777 of Mathematical Reviews Vol. , Issue 84e [page]

1984 Mathematical Reviews  
F. 84e:20056 Almost completely decomposable torsion free abelian groups. (Russian) Abelian groups and modules, pp. 91-101, 137, Tomsk. Gos. Univ., Tomsk, 1980.  ...  B. 84e:20057 Torsion free quasi-pure injective abelian groups. (Russian) Abelian groups and modules, pp. 45-69, 136, Tomsk. Gos. Univ., Tomsk, 1980.  ... 

On separable torsion-free modules of countable density character

R Göbel, B Goldsmith
1991 Journal of Algebra  
The endomorphism algebras of modules of large cardinalities have been extensively studied in recent years using the combinatorial set-theoretic techniques of Shelah-the so-called black-box methods (see  ...  If A is a torsion-free algebra over a complete discrete valuation ring R and A is generated by <2 N0 elements as an R-module, then there  ...  The endomorphism algebras of modules of large cardinalities have been extensively studied in recent years using the combinatorial set-theoretic techniques of Shelah-the so-called black-box methods (see  ... 
doi:10.1016/0021-8693(91)90128-u fatcat:zwe4vy3btnaito5jzm7f7kofga

Page 4614 of Mathematical Reviews Vol. , Issue 96h [page]

1996 Mathematical Reviews  
He also writes down many examples of such curves which can be seen to be set-theoretic complete intersections using his methods, which were previously not known to be so. N. Mohan Kumar (1-WASN; St.  ...  One way we can be sure that C is a set-theoretic complete intersection is if P(C) is, and C is cut out on X by one equation.  ... 

Self-Synchronizing Pulse Position Modulation With Error Tolerance

Yuichiro Fujiwara
2013 IEEE Transactions on Information Theory  
In this paper we propose a coding theoretic variation of PPM that allows for significantly more efficient symbol and frame synchronization as well as strong error correction.  ...  Pulse position modulation (PPM) is a popular signal modulation technique which creates M-ary data by means of the position of a pulse within a time interval.  ...  10 14 Almost difference set [33, Theorem 3] e EPPM 32 35 17 18 Difference set [55] f a d  ... 
doi:10.1109/tit.2013.2262094 fatcat:ow4ie26nxjg6vplbnursafw3si

Page 4022 of Mathematical Reviews Vol. , Issue 84j [page]

1984 Mathematical Reviews  
Fuchs, On projective dimensions of modules over valuation domains (pp. 589-598); B. Franzen, Exterior powers and torsion-free modules over almost maximal valuation domains (pp. 599-606); G.  ...  Viljoen, On torsion-free modules of rank 2 over an almost maximal valuation domain (pp. 607-616); Ladislav Prochazka, A generalization of a Priifer-Kaplansky theorem (pp. 617-629); F.  ... 

Page 2371 of Mathematical Reviews Vol. , Issue 86f [page]

1986 Mathematical Reviews  
Three methods for constructing basic sets are developed. The first is Gaussian elimination, which is very general, but computational. Next is  ...  Fuchs, On modules of finite projective dimension over valuation domains (pp. 361-371); Radoslav Dimitri¢, On pure submodules of free modules and «-free modules (pp. 373-381); E.  ... 

Page 6494 of Mathematical Reviews Vol. , Issue 95k [page]

1995 Mathematical Reviews  
Ko (KR-YNS; Seoul) See also * 14070, 20070. 13D (Co)homological methods 95k:13015 13D02 13D25 13H10 Kustin, Andrew R. (1-SC; Columbia, SC) The minimal resolution of a codimension four almost complete intersection  ...  Summary: “This note is an introduction to the ring-theoretic approach to the study of determinantal varieties, especially to the study of minimal free resolutions of determinantal ideals.”  ... 

Subject index

1970 Information and Control  
STERNS, 226 Graphs Embedding Linear Graphs in N-Cube, An Optimizing Method for, HAJIME ENOMOTO AND TADAO ICHIKAWA, 122 Graph Theoretic Concepts and the Incidence Matrix, YOSHIKO TAKE- NAKA, 113  ...  SANTOS, 326 G Generable Sets Generable Sets, W.  ... 
doi:10.1016/s0019-9958(70)90439-0 fatcat:aaeqm7l6czbrxhqtmyuw3wlixu

Page 650 of Mathematical Reviews Vol. , Issue 93b [page]

1993 Mathematical Reviews  
for n > 6 is a set-theoretic complete intersection. The paper also has a fairly extensive list of references. N.  ...  This paper deals with many well-known questions about the min- imal number of equations required to define a subvariety (either set-theoretically or ideal-theoretically) in a variety.  ... 
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