Results 11 to 20 of about 48 (48)
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
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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
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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
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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
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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
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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
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International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 321-326, 1996., 1995 In this paper we characterize the class of semirings S for which the semirings of square matrices Mn(S) over S are (left) k‐artinian. Also an analogue of the Hilbert basis theorem for semirings is obtained.
T. K. Mukherjee, M. K. Sen, Shamik Ghosh
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On Jordan mappings of inverse semirings
Open Mathematics, 2017 In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.
Shafiq Sara, Aslam Muhammad
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All Regular-Solid Varieties of Idempotent Semirings
Discussiones Mathematicae - General Algebra and Applications, 2017 The lattice of all regular-solid varieties of semirings splits in two complete sublattices: the sublattice of all idempotent regular-solid varieties of semirings and the sublattice of all normal regular-solid varieties of semirings.
Hounnon Hippolyte
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Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper we study the properties of structures of the semigroup (M,+) and the Γ-semigroup M of Γ -semiring M and regular Γ-semiring M satisfying the identity a + aαb = a or aαb + a = a or a + aαb + b = a or a + 1 = 1, for all a ∈ M, α ∈ Γ.
Rao Marapureddy Murali Krishna
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