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Book Review: Almost free modules. Set-theoretic methods

1993
*
Bulletin of the American Mathematical Society
*

Shelah's discovery marked the beginning of the modern era of applications of powerful

doi:10.1090/s0273-0979-1993-00333-1
fatcat:m6jcaglmfvc45il4boxiqbn2bu
*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*. ...##
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Almost free modules and Mittag--Leffler conditions
[article]

2009
*
arXiv
*
pre-print

Two questions arise: (1) What is the structure of the class D of all flat Mittag--Leffler

arXiv:0910.4277v1
fatcat:pb433v5xevad5pwl3dsphdhjf4
*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] . ...##
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Almost free modules and Mittag-Leffler conditions

2012
*
Advances in Mathematics
*

Two questions arise: (1) What is the structure of the class D of all flat Mittag-Leffler

doi:10.1016/j.aim.2012.02.013
fatcat:jw6puqylyvhz3e4tayknruq2dq
*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] . ...##
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MEASUREMENTS OF SURF BEAT AND SET-DOWN BENEATH WAVE GROUPS

1984
*
Coastal Engineering Proceedings
*

For the incident forced - or bound - wave, also known as

doi:10.9753/icce.v19.49
fatcat:5bh2luus7rcuvh4gsapx24dhhy
*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, ? ...##
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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 ...##
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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. ...##
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On separable torsion-free modules of countable density character

1991
*
Journal of Algebra
*

The endomorphism algebras of

doi:10.1016/0021-8693(91)90128-u
fatcat:zwe4vy3btnaito5jzm7f7kofga
*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 ...##
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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. ...##
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Self-Synchronizing Pulse Position Modulation With Error Tolerance

2013
*
IEEE Transactions on Information Theory
*

In this paper we propose a coding

doi:10.1109/tit.2013.2262094
fatcat:ow4ie26nxjg6vplbnursafw3si
*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 ...##
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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. ...##
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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.” ...##
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Subject index

1970
*
Information and Control
*

STERNS, 226
Graphs
Embedding Linear Graphs in N-Cube,
An Optimizing

doi:10.1016/s0019-9958(70)90439-0
fatcat:aaeqm7l6czbrxhqtmyuw3wlixu
*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. ...##
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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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