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Triples asociados

J. M. Barja, J. L. Freire
1980 Publicacions matemàtiques  
E(V,7*) it is 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 .  ... 
doi:10.5565/publmat_20180_22 fatcat:7ivibdkc2zhm5gm6xkpq6ukmz4

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).  ... 

Orientation in operator algebras

E. M. Alfsen, F. W. Shultz
1998 Proceedings of the National Academy of Sciences of the United States of America  
A problem that dates back to the 1950s is to 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  ... 
doi:10.1073/pnas.95.12.6596 pmid:9618457 pmcid:PMC22571 fatcat:zfcx7rpxkzfipham4e6lnhrbjy

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.  ... 

Temporal Lorentzian Spectral Triples [article]

Nicolas Franco
2013 arXiv   pre-print
This 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.  ... 
arXiv:1210.6575v2 fatcat:4p7v2brizza6bels2lg5bmo5va

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

Nicolás Madrid, Jesús Medina, Manuel Ojeda-Aciego, Irina Perfilieva
2016 Journal of Fuzzy Set Valued Analysis  
In this paper we present a definition 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  ... 
doi:10.5899/2016/jfsva-00270 fatcat:e3m7tes6mvdkzjxb3h4pxarf4a

Algebraic Structure of Adjoint Triples Generating a Weak Negation on the Unit Interval [chapter]

M. Eugenia Cornejo, Jesús Medina, Eloísa Ramírez-Poussa
2020 Lecture Notes in Computer Science  
Moreover, the 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.  ... 
doi:10.1007/978-3-030-52705-1_25 fatcat:gzcakcjkpvblbecfasija5sgui

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

M. Burgos, A. C. Márquez-García, A. Morales-Campoy
2013 Abstract and Applied Analysis  
The aim 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.  ... 
doi:10.1155/2013/757646 fatcat:b3aivyorzvbujcdozxswbzcjh4

Ladders of compactly generated triangulated categories and preprojective algebras [article]

Nan Gao, Chrysostomos Psaroudakis
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.  ... 
arXiv:1611.09973v3 fatcat:4bq3bnj44ndgpmsdaa5fyk5z54

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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