Results 11 to 20 of about 276 (37)
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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Bi-Interior Ideals of Γ-Semirings
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of Γ-semiring and study the properties of bi-interior ideals of Γ-semiring.
Rao Marapureddy Murali Krishna +1 more
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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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Residuated Structures Derived from Commutative Idempotent Semirings
Discussiones Mathematicae - General Algebra and Applications, 2019 Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiring can be converted into a residuated lattice. It turns out that this is possible if the semiring in question is commutative, idempotent, G-simple and ...
Chajda Ivan, Länger Helmut
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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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THE GEOMETRY OF BLUEPRINTS PART II: TITS–WEYL MODELS OF ALGEBRAIC GROUPS
Forum of Mathematics, Sigma, 2018 This paper is dedicated to a problem raised by Jacquet Tits in 1956: the Weyl group of a Chevalley group should find an interpretation as a group over what is nowadays called $\mathbb{F}_{1}$, the field with one element.
OLIVER LORSCHEID
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