Results 11 to 20 of about 295 (56)
Tropical Lagrangian hypersurfaces are unobstructed
Journal of Topology, Volume 13, Issue 4, Page 1409-1454, December 2020., 2020 Abstract We produce for each tropical hypersurface V(ϕ)⊂Q=Rn a Lagrangian L(ϕ)⊂(C∗)n whose moment map projection is a tropical amoeba of V(ϕ). When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror.
Jeffrey Hicks
wiley +1 more source
An ultradiscrete matrix version of the fourth Painleve equation [PDF]
, 2006 We establish a matrix generalization of the ultradiscrete fourth Painlev\'e equation (ud-PIV). Well-defined multicomponent systems that permit ultradiscretization are obtained using an approach that relies on a group defined by constraints imposed by the
Field, Chris M., Ormerod, Chris M.
core +4 more sources
Definable sets up to definable bijections in Presburger groups
Transactions of the London Mathematical Society, Volume 5, Issue 1, Page 47-70, December 2018., 2018 Abstract We entirely classify definable sets up to definable bijections in Z‐groups, where the language is the one of ordered abelian groups. From this, we deduce, among others, a classification of definable families of bounded definable sets.
Raf Cluckers, Immanuel Halupczok
wiley +1 more source
The endomorphism semiring of a semilattice [PDF]
, 2009 We prove that the endomorphism semiring of a nontrivial semilattice is always subdirectly irreducible and describe its monolith. The endomorphism semiring is congruence simple if and only if the semilattice has both a least and a largest ...
Jezek, J., Kepka, T., Maróti, Miklós
core +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 17, Page 873-880, 2004., 2004 We introduce and investigate flat semimodules and k‐flat semimodules .We hope these concepts will have the same importance in semimodule theory as in the theory of rings and modules.
Huda Mohammed J. Al-Thani
wiley +1 more source
Invertible Ideals and Gaussian Semirings [PDF]
, 2017 In the first section of this paper, we introduce the notions of fractional and invertible ideals of semirings and characterize invertible ideals of a semidomain.
Ghalandarzadeh, Shaban +2 more
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One‐sided complements and solutions of the equation aXb = c in semirings
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 8, Page 453-458, 2002., 2002 Given multiplicatively‐regular elements a and b in a semiring R, and given an element c of R, we find a complete set of solutions to the equation aXb = c. This result is then extended to equations over matrix semirings.
Sam L. Blyumin, Jonathan S. Golan
wiley +1 more source
Characterizations of projective and k‐projective semimodules
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 7, Page 439-448, 2002., 2002 This paper deals with projective and k‐projective semimodules. The results for projective semimodules are generalization of corresponding results for projective modules.
Huda Mohammed J. Al-Thani
wiley +1 more source
Subdirect products of semirings
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 9, Page 539-545, 2001., 2001 Bandelt and Petrich (1982) proved that an inversive semiring S is a subdirect product of a distributive lattice and a ring if and only if S satisfies certain conditions. The aim of this paper is to obtain a generalized version of this result. The main purpose of this paper however, is to investigate, what new necessary and sufficient conditions need we
P. Mukhopadhyay
wiley +1 more source
Supertropical matrix algebra III: Powers of matrices and generalized eigenspaces [PDF]
, 2010 We investigate powers of supertropical matrices, with special attention to the role of the coefficients of the supertropical characteristic polynomial (especially the supertropical trace) in controlling the rank of a power of a matrix.
Izhakian, Zur, Rowen, Louis
core +3 more sources