The Experts below are selected from a list of 3954 Experts worldwide ranked by ideXlab platform
Icksoon Chang - One of the best experts on this subject based on the ideXlab platform.
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on the intuitionistic fuzzy stability of Ring Homomorphism and Ring derivation
Abstract and Applied Analysis, 2013Co-Authors: Jaiok Roh, Icksoon ChangAbstract:We take into account the stability of Ring Homomorphism and Ring derivation in intuitionistic fuzzy Banach algebra associated with the Jensen functional equation. In addition, we deal with the superstability of functional equation in an intuitionistic fuzzy normed algebra with unit.
Jaiok Roh - One of the best experts on this subject based on the ideXlab platform.
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on the intuitionistic fuzzy stability of Ring Homomorphism and Ring derivation
Abstract and Applied Analysis, 2013Co-Authors: Jaiok Roh, Icksoon ChangAbstract:We take into account the stability of Ring Homomorphism and Ring derivation in intuitionistic fuzzy Banach algebra associated with the Jensen functional equation. In addition, we deal with the superstability of functional equation in an intuitionistic fuzzy normed algebra with unit.
Youngs Nora - One of the best experts on this subject based on the ideXlab platform.
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Neural Ring Homomorphisms and maps between neural codes
2019Co-Authors: Curto Carina, Youngs NoraAbstract:Neural codes are binary codes that are used for information processing and representation in the brain. In previous work, we have shown how an algebraic structure, called the {\it neural Ring}, can be used to efficiently encode geometric and combinatorial properties of a neural code [1]. In this work, we consider maps between neural codes and the associated Homomorphisms of their neural Rings. In order to ensure that these maps are meaningful and preserve relevant structure, we find that we need additional constraints on the Ring Homomorphisms. This motivates us to define {\it neural Ring Homomorphisms}. Our main results characterize all code maps corresponding to neural Ring Homomorphisms as compositions of 5 elementary code maps. As an application, we find that neural Ring Homomorphisms behave nicely with respect to convexity. In particular, if $\mathcal{C}$ and $\mathcal{D}$ are convex codes, the existence of a surjective code map $\mathcal{C}\rightarrow \mathcal{D}$ with a corresponding neural Ring Homomorphism implies that the minimal embedding dimensions satisfy $d(\mathcal{D}) \leq d(\mathcal{C})$.Comment: 15 pages, 2 figure
Randal-williams Oscar - One of the best experts on this subject based on the ideXlab platform.
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Tautological Rings and stabilisation
'Organisation for Economic Co-Operation and Development (OECD)', 2021Co-Authors: Randal-williams OscarAbstract:We construct a Ring Homomorphism compaRing the tautological Ring, fixing a point, of a closed smooth manifold with that of its stabilisation by $S^{2a} \times S^{2b}$
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Tautological Rings and stabilisation
'Cambridge University Press (CUP)', 2021Co-Authors: Randal-williams OscarAbstract:We construct a Ring Homomorphism compaRing the tautological Ring, fixing a point, of a closed smooth manifold with that of its stabilisation by $S^{2a} \times S^{2b}$.Comment: 11 pages. v2: accepted version, to appear in Glasg. Math.
Siamak Yassemi - One of the best experts on this subject based on the ideXlab platform.
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attached primes of local cohomology for modules finite over a Ring Homomorphism
Algebra Colloquium, 2011Co-Authors: Abolfazl Tehranian, Massoud Tousi, Siamak YassemiAbstract:Let 𝜑 : R → S be a Ring Homomorphism of Noetherian Rings and let 𝔞 be an ideal of R. Let M be a finitely generated S-module with dimR(M)=d. In this paper, we prove that the R-module $H^d_\mathfrak{a}(M)$ has a secondary representation and we exhibit its set of attached primes (under some technical conditions).
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the lichtenbaum hartshorne theorem for modules which are finite over a Ring Homomorphism
Journal of Pure and Applied Algebra, 2008Co-Authors: Massoud Tousi, Siamak YassemiAbstract:Let φ:(R,m)→S be a flat Ring Homomorphism such that mS≠S. Assume that M is a finitely generated S-module with dimR(M)=d. If the set of support of M has a special property, then it is shown that Had(M)=0 if and only if for each prime ideal p∈SuppR(M⊗RR) satisfying dimR/p=d, we have dim(R/(aR+p))>0. This gives a generalization of the Lichtenbaum–Hartshorne vanishing theorem for modules which are finite over a Ring Homomorphism. Furthermore, we provide two extensions of Grothendieck’s non-vanishing theorem. Applications to connectedness properties of the support are given.
