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Local congruence of chain complexes
[article]

2020
*
arXiv
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pre-print

The object

arXiv:2004.00046v1
fatcat:ie57rku3jrfpnacjkkfistfdxa
*of*this paper is to transform a set*of**local**chain**complexes*to a single global*complex*using an equivalence relation*of**congruence**of*cells, solving topologically the numerical inaccuracies ... The target*of*this paper is to merge the*local**chains*by using the equivalence relations*of*ϵ-*congruence*between 0-, 1-, and 2-cells (elementary*chains*). ...*Chain**Complex**Congruence*Algorithm In Section 4.1 we have discussed the block diagonal marshaling [∆ 0 ] and [∆ 1 ]*of**local*coboundary matrices. ...##
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Page 820 of Mathematical Reviews Vol. 26, Issue 4
[page]

1963
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Mathematical Reviews
*

a 6

*congruences*non holonomes W ; dans un*complexe*avec un centre d’inflexion double, il y a seule- ment une*congruence*non holonome W; les*complexes*restants ne contiennent pas de*congruence*non holonome ... The possibility*of*such a trans- formation with conservation*of*generators depends (*locally*) on the nature*of*the envelope*of*the tangent hyperplanes through a ruling. ...##
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Policy transformation in software defined networks

2012
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Computer communication review
*

into a single list

doi:10.1145/2377677.2377745
fatcat:o6ihcuj4lbgffa3ddaqe4bttga
*of*rules. ... This would simplify programming by allowing programs written on one abstract switch to run over a more*complex*network topology, and simplify analysis by consolidating a policy spread over multiple switches ... may be applied correctly in a large context using the*Congruence*axiom as follows. l2 ↔ l 2 l1, l2, l3 ↔ l1, l 2 , l3 (*Congruence*) The*Congruence*axiom states that if a*local*rewrite applies then that ...##
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Policy transformation in software defined networks

2012
*
Proceedings of the ACM SIGCOMM 2012 conference on Applications, technologies, architectures, and protocols for computer communication - SIGCOMM '12
*

into a single list

doi:10.1145/2342356.2342424
dblp:conf/sigcomm/KangRRW12
fatcat:pne643yt4vaitcgc5atbdv5atu
*of*rules. ... This would simplify programming by allowing programs written on one abstract switch to run over a more*complex*network topology, and simplify analysis by consolidating a policy spread over multiple switches ... may be applied correctly in a large context using the*Congruence*axiom as follows. l2 ↔ l 2 l1, l2, l3 ↔ l1, l 2 , l3 (*Congruence*) The*Congruence*axiom states that if a*local*rewrite applies then that ...##
###
Page 497 of Mathematical Reviews Vol. 27, Issue 3
[page]

1964
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Mathematical Reviews
*

Let Il be a non-empty set

*of*primes and let ZL, be the full linear group*of*degree n over the field*of**complex*numbers. ... The author outlines a proof*of*the following theorem, which depends on a result*of*Dickson: If ¢> 2, every normal*congruence*subgroup*of*I’*of*odd level is a principal*congruence*subgroup. J. ...##
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Page 2580 of Mathematical Reviews Vol. , Issue 95e
[page]

1995
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Mathematical Reviews
*

Mamedov that a variety

*of*algebras is*congruence*-regular if and only if it has n-transferable*congruences*for some natural number n. ... Chessboard*complexes*arise in combinatorics as coset*complexes*, deleted joins, matching*complexes*,*complexes**of*injective func- tions, etc. ...##
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Page 3986 of Mathematical Reviews Vol. , Issue 99f
[page]

1999
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Mathematical Reviews
*

They then show that a nonzero T with the S.V.E.P. is

*chain*-finite if and only if it is*locally**chain*-finite at x for each x. ... As for A = #(H),*congruence*is closely related to (arbi- trarily high) order*of*contact at each w € Q, and the main point is to prove that order*of*contact <k implies*congruence*and thus unitary equivalence ...##
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Page 970 of Mathematical Reviews Vol. 33, Issue 5
[page]

1967
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Mathematical Reviews
*

The group G is said to satisfy the minimal condition with respect to a given subset M

*of*@ if and only if every descending*chain**of*subgroups G,>G,> --- intersects M in a*chain**of*finite length. ... The norm |x| = 4/tr(zz’) makes the algebra*of*all nxn matrices over the*complex*numbers into a metric algebra, and thus GL(n, C) into a metric group. ...##
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Page 4575 of Mathematical Reviews Vol. , Issue 96h
[page]

1996
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Mathematical Reviews
*

*complexes*. ... This and a few more results follow by applications

*of*two theo- rems about the

*localization*

*of*zeros

*of*polynomials. ...

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Finite algebras of finite complexity

1999
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Discrete Mathematics
*

In particular, we describe all ÿnite algebras

doi:10.1016/s0012-365x(99)00042-4
fatcat:yucmgnhlyjfmfgzxr73epcdozm
*of*ÿnite*complexity*and all ÿnite strongly abelian algebras which generate residually small varieties. (K.A. Kearnes), ewkiss@cs.elte.hu (E.W. ... The fact that is rectangularly nilpotent implies that there is a*chain**of**congruences*connecting 0 A to such that each quotient is rectangulated by . Add 1 A to the end*of*this*chain*. ... Now suppose that is a strongly nilpotent*congruence**of*A in the weakest possible sense described above, that is, for a suitable*chain**of**congruences*we have either S( ; i+1 ; i ) or S( i+1 ; ; i ) for ...##
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Page 508 of Mathematical Reviews Vol. 22, Issue 4A
[page]

1961
*
Mathematical Reviews
*

In Ann.

*of*Math. (2) 69 (1959), 223-246 [MR 21 #4423], the reviewer has shown that the*chains*on a fibre space are*chain*equivalent to a*chain**complex*which is the tensor product*of*the*chains**of*the base ...*of*semi-simplicial*complexes*and twisted cartesian products. ...##
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Page 2562 of Mathematical Reviews Vol. , Issue 84g
[page]

1984
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Mathematical Reviews
*

investigations on a preliminary analysis

*of*the structure*of*these*congruences*. ... such that each*of*its segments is a lattice, ie. that P be a*local*lattice. ...##
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Page 939 of Mathematical Reviews Vol. , Issue 2000b
[page]

2000
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Mathematical Reviews
*

Wen (PRC-WUHAN,; Wuhan)
Properties

*of*the*congruence*lattice*of*a De Morgan algebra. ... The dimension*of*the cube hull*of*a cut-*complex*is shown to be the same as the maximum degree*of*the vertices in the*complex*. ...##
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Page 60 of Mathematical Reviews Vol. 48, Issue 1
[page]

1974
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Mathematical Reviews
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Here she gives the following results. (1) Let (0C F,C-:: C F,,-1C G@,) be a

*chain**of*finite sub-group schemes*of*@, such that the*local*component*of*F,/F,_, is non-zero for 1<i<n-—1; then there is a u.c.c.r.n.k ... There are canonical maps A(V)->A(0,/m,"), where A(V) is the group*of*sections*of*A over V and m, is the maximal ideal*of*the*local*ring 0,*of*V at v. ...##
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Page 2534 of Mathematical Reviews Vol. 58, Issue 4
[page]

1979
*
Mathematical Reviews
*

Lesohin, The

*local*finite- ness*of*semigroups*of*bilinear*complex*functionals (pp. 132-135); S. G. Mamikonjan, Varieties*of*finitely approximable semigroups. II (pp. 136-140); V. N. ... Under the assumption that the*congruence*lattice A(S)*of*a band*of*groups S has no infinite*chains*it is shown that A(S) is upper semimodular if and only if S is 0-modular [C. Spitznagel, Trans. ...
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