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## Filters

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Triples asociados

1980
*
Publicacions matemàtiques
*

E(V,7*) it is

doi:10.5565/publmat_20180_22
fatcat:7ivibdkc2zhm5gm6xkpq6ukmz4
*characterized*by :existence*of*the superior degree*triple**structures*, lifts to the respective*algebras**and*Kleisli categories*and*, in this latter case, the existence*of*a pair*of**adjoint*... Two*triple**structures*on a'_nctor T, T'=(T,n,u) y r*= =(T,n*,u*) are to be called associated , E(T,r*), if y " u*T=u* " TU . ... On fundamental construction*and**adjoint*functors .Bull .Can .Math .V9(1966)581 -591 . 171 Maranda,J .M . Constructions fondamentales de dégré supérieur .J .Reine Angew Math .243(1970) 1-16 . ...##
###
Page 2935 of Mathematical Reviews Vol. , Issue 87f
[page]

1987
*
Mathematical Reviews
*

This criterion depends on the following

*characterization**of*Jor- dan*triple*systems: Let P:V — EndV be a quadratic map with P(z) invertible for some z*and*P(P(y)z) = P(y)P(z)P(y). ... Obvi- ously, this concept generalizes the*adjoint**and*norm function on a Jordan*algebra*where one, in addition, has the*adjoint*iden- tity z## = N(z)"-?z. ...##
###
Page 539 of Mathematical Reviews Vol. , Issue 82b
[page]

1982
*
Mathematical Reviews
*

The authors present the following

*characterization**of*82b:18010 18D Categories with*structure*82: 1 8014*algebras*over the*triple*H,,: X is an H,,-*algebra*if*and*only if X=II1,<4A;. ... In the earlier paper, the notion*of**adjoint*Hopf*algebras*was introduced*and*it was shown that if H is*adjoint*to K (both H*and*K Hopf*algebras*in the general setting mentioned above) then there is an ...##
###
Page 4929 of Mathematical Reviews Vol. , Issue 84m
[page]

1984
*
Mathematical Reviews
*

A mixed Cartesian square

*of*f*and*d is defined as a*triple*(G,f,d) in which G is a Lie*algebra*, f:G—L a homomorphism*and*d: G— A a derivation such that df= fd*and*such that, for every.*triple*(G’;/’,d’ ... J. 21 (1957/58), 155-160; MR 20 #6483] as generalizations*of*Lie*triple*systems. As for Lie*triple*systems, one can construct from each Lie*triple**algebra*A an enveloping Lie*algebra*E(A)=A® D(A,A). ...##
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Orientation in operator algebras

1998
*
Proceedings of the National Academy of Sciences of the United States of America
*

A problem that dates back to the 1950s is to

doi:10.1073/pnas.95.12.6596
pmid:9618457
pmcid:PMC22571
fatcat:zfcx7rpxkzfipham4e6lnhrbjy
*characterize*the ordered linear spaces that are the self-*adjoint*parts*of*C**algebras*or*of*von Neumann*algebras*. ... A concept*of*orientation is relevant for the passage from Jordan*structure*to associative*structure*in operator*algebras*. ... To set the stage for the first part, we first review the connection*of*Jordan*algebras*to the original problem*of**characterizing*the spaces*of*self-*adjoint*elements*of*an operator*algebra**and*indicate ...##
###
Page 521 of Mathematical Reviews Vol. , Issue 83b
[page]

1983
*
Mathematical Reviews
*

*Structure*

*and*semantics functors between Mon™ (A)

*and*Kan(A| A) are also shown to be

*adjoint*,

*and*an

*algebraic*

*characterization*

*of*monadic functors is given. Robert C. ... The planar nets, with appropriate operations, form both a category

*and*a semigroup; Hotz studied the

*algebraic*

*structure*

*of*this

*and*similar categories. ...

##
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Temporal Lorentzian Spectral Triples
[article]

2013
*
arXiv
*
pre-print

This

arXiv:1210.6575v2
fatcat:4p7v2brizza6bels2lg5bmo5va
*structure*introduces a notion*of*global time in noncommutative geometry. As an example, we construct a temporal Lorentzian spectral*triple*over a Moyal--Minkowski spacetime. ... We present the notion*of*temporal Lorentzian spectral*triple*which is an extension*of*the notion*of*pseudo-Riemannian spectral*triple*with a way to ensure that the signature*of*the metric is Lorentzian ... So there is a way to defined an example*of*a noncommutative Lorentzian space with a*structure**of*temporal Lorentzian spectral*triple*. ...##
###
Page 2039 of Mathematical Reviews Vol. , Issue 91D
[page]

1991
*
Mathematical Reviews
*

Summary: “The main purpose

*of*the present note is to establish the essential equivalence*of*the*adjoint**of*a semilinear map defined through the Fonte*structure*between a pair*of*Banach spaces*and*the*adjoint*... These JB*-*triples*give an*algebraic**characterization**of*bounded symmet- ric domains in Banach spaces,*and*are also useful in the geometric theory*of*Banach spaces*and*their state spaces (contractive linear ...##
###
Page 4467 of Mathematical Reviews Vol. , Issue 2004f
[page]

2004
*
Mathematical Reviews
*

ISBN 973-27-0956-1
Since their introduction in the early 1930s by Jordan-von
Neumann-Wigner, as an

*algebraic*foundation*of*quantum me- chanics, Jordan*algebras**and*related*algebraic**structures*(Jordan ... Prominent examples are: (i)*Characterization**of*domains*of*positivity (self-dual homoge- neous convex cones) in terms*of*formally real (“Euclidean”) Jordan*algebras*. ...##
###
Toward the Use of Fuzzy Relations in the Definition of Mathematical Morphology Operators

2016
*
Journal of Fuzzy Set Valued Analysis
*

In this paper we present a definition

doi:10.5899/2016/jfsva-00270
fatcat:e3m7tes6mvdkzjxb3h4pxarf4a
*of*erosions*and*dilations in terms*of*fuzzy relations*and**adjoint**triples*. ... We firstly show that we can represent any*algebraic*erosion*and*dilation in such a terms*and*secondly, we present a set*of*approaches that can be covered by our definition*of*relational erosions*and*dilations ... Partially supported by Spanish Ministry*of*Science*and*European Regional Development Funds (FEDER) through projects TIN12-39353-C04-04, TIN12-39353-C04-01, CZ.1.05/1.1.00/02.0070*and*CZ.1.07/2.3.00/30.0010 ...##
###
Algebraic Structure of Adjoint Triples Generating a Weak Negation on the Unit Interval
[chapter]

2020
*
Lecture Notes in Computer Science
*

Moreover, the

doi:10.1007/978-3-030-52705-1_25
fatcat:gzcakcjkpvblbecfasija5sgui
*algebraic**structure*formed by these*adjoint**triples*is also investigated. ...*Adjoint*negations are a generalization*of*residuated negations built from the implications*of*an*adjoint**triple*. ... , Knowledge, Business*and*University*of*the Regional Government*of*Andalusia in project FEDER-UCA18-108612,*and*by the European Cooperation in Science & Technology (COST) Action CA17124. ...##
###
Page 3327 of Mathematical Reviews Vol. 58, Issue 5
[page]

1979
*
Mathematical Reviews
*

Beck [“

*Triples*,*algebras*,*and*cohomology”, Ph.D. ... We give two*characterizations**of*the existence*of*a right*adjoint*to L. One involves just the ‘topo- logical data’*and*the other is an application*of*Freyd’s*adjoint*functor theorem. ...##
###
Approximate Preservers on Banach Algebras andC*-Algebras

2013
*
Abstract and Applied Analysis
*

The aim

doi:10.1155/2013/757646
fatcat:b3aivyorzvbujcdozxswbzcjh4
*of*the present paper is to give approximate versions*of*Hua's theorem*and*other related results for Banach*algebras*andC*-*algebras*. ... We also study linear maps approximately preserving the conorm between unitalC*-*algebras*. ... MTM 2011-23843, MTM 2010-17687,*and*Junta de Andalucía Grants FQM 375*and*FQM 3737. The second author is also supported by a Plan Propio de Investigación grant from University*of*Almería. ...##
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Ladders of compactly generated triangulated categories and preprojective algebras
[article]

2017
*
arXiv
*
pre-print

*of*a differential graded

*algebra*. ... In this paper we

*characterize*when a recollement

*of*compactly generated triangulated categories admits a ladder

*of*some height going either upwards or downwards. ... The

*structure*

*of*the paper is as follows. In Section 2 we collect preliminary notions

*and*results on recollements

*of*triangulated categories

*and*the existence

*of*

*adjoint*functors. ...

##
###
Page 2969 of Mathematical Reviews Vol. , Issue 80H
[page]

1980
*
Mathematical Reviews
*

A Q-

*structure*is a*triple*(a, m, A), where m Eob(C), a C C(s,m),*and*A C C(m, t), satisfying: (i) A ° a CQ, (ii) A*and*a are maximal with respect to condition (i). ... He also proves general theorems*characterizing*the existence*of*injective weak left (right)*adjoints*. ...
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