2,772 research outputs found
Linear representations of regular rings and complemented modular lattices with involution
Faithful representations of regular -rings and modular complemented
lattices with involution within orthosymmetric sesquilinear spaces are studied
within the framework of Universal Algebra. In particular, the correspondence
between classes of spaces and classes of representables is analyzed; for a
class of spaces which is closed under ultraproducts and non-degenerate finite
dimensional subspaces, the latter are shown to be closed under complemented
[regular] subalgebras, homomorphic images, and ultraproducts and being
generated by those members which are associated with finite dimensional spaces.
Under natural restrictions, this is refined to a --correspondence between
the two types of classes
The Threshold effects for the two-particle Hamiltonians on lattices
For a wide class of two-body energy operators on the three-dimensional
lattice \bbZ^3, being the two-particle quasi-momentum, we prove that if
the following two assumptions (i) and (ii) are satisfied, then for all
nontrivial values , , the discrete spectrum of below its
threshold is non-empty. The assumptions are:
(i) the two-particle Hamiltonian corresponding to the zero value of
the quasi-momentum has either an eigenvalue or a virtual level at the bottom of
its essential spectrum and (ii) the one-particle free
Hamiltonians in the coordinate representation generate positivity preserving
semi-groups
An order-theoretic analysis of interpretations among propositional deductive systems
In this paper we study interpretations and equivalences of propositional
deductive systems by using a quantale-theoretic approach introduced by Galatos
and Tsinakis. Our aim is to provide a general order-theoretic framework which
is able to describe and characterize both strong and weak forms of
interpretations among propositional deductive systems also in the cases where
the systems have different underlying languages
Monopole and Dyon Spectra in N=2 SYM with Higher Rank Gauge Groups
We derive parts of the monopole and dyon spectra for N=2 super-Yang--Mills
theories in four dimensions with gauge groups G of rank r>1 and matter
multiplets. Special emphasis is put on G=SU(3) and those matter contents that
yield perturbatively finite theories. There is no direct interpretation of the
soliton spectra in terms of naive selfduality under strong--weak coupling and
exchange of electric and magnetic charges. We argue that, in general, the
standard procedure of finding the dyon spectrum will not give results that
support a conventional selfduality hypothesis --- the SU(2) theory with four
fundamental hypermultiplets seems to be an exception. Possible interpretations
of the results are discussed.Comment: 24 pages, plain tex, 6 figures. uuencoded compressed tar file. Three
references adde
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