Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Zur Izhakian"'
Autor:
Zur Izhakian, Manfred Knebusch
Publikováno v:
Linear and Multilinear Algebra. 70:5502-5546
Rays are classes of an equivalence relation on a module V over a supertropical semiring. They provide a version of convex geometry, supported by a ‘supertropical trigonometry’ and compatible with q...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::598fa9791c51034ff6d132fc6ec48377
https://doi.org/10.1080/03081087.2021.1919049
https://doi.org/10.1080/03081087.2021.1919049
Autor:
Zur Izhakian, Manfred Knebusch
Classes of an equivalence relation on a module V over a supertropical semiring, called rays, carry the underlaying structure of "supertropical trigonometry" and thereby a version of convex geometry which is compatible with quasilinearity. In this the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::966f522f063fc3c2ac1a7839f19d58e3
http://arxiv.org/abs/2205.15036
http://arxiv.org/abs/2205.15036
Publikováno v:
Journal of Pure and Applied Algebra. 223:3262-3294
An R-module V over a semiring R lacks zero sums (LZS) if x + y = 0 implies x = y = 0 . More generally, we call a submodule W of V “summand absorbing” (SA) in V if ∀ x , y ∈ V : x + y ∈ W ⇒ x ∈ W , y ∈ W . These arise in tropical algeb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3afc7eb9bbb74a67a89108bf8269e396
https://doi.org/10.1016/j.jpaa.2018.11.001
https://doi.org/10.1016/j.jpaa.2018.11.001
Autor:
Zur Izhakian
Publikováno v:
Journal of Algebra. 524:290-366
A new tropical plactic algebra is introduced in which the Knuth relations are inferred from the underlying semiring arithmetics, encapsulating the ubiquitous plactic monoid $\mathcal{P}_n$. This algebra manifests a natural framework for accommodating
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b14275c13e5c4b0fc1aa79ec05c6b38
https://doi.org/10.1016/j.jalgebra.2018.12.014
https://doi.org/10.1016/j.jalgebra.2018.12.014
Publikováno v:
International Journal of Algebra and Computation. 28:1633-1676
This paper is a sequel of [Z. Izhakian, M. Knebusch and L. Rowen, Supertropical semirings and supervaluations, J. Pure Appl. Algebra 220(1) (2016) 61–93], where we introduced quadratic forms on a module [Formula: see text] over a supertropical semi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25851d35883083207eaf936e4a40c928
https://doi.org/10.1142/s021819671840012x
https://doi.org/10.1142/s021819671840012x
Autor:
Zur Izhakian, Yehuda Izhakian
Publikováno v:
SSRN Electronic Journal.
This paper introduces a real-time, instantaneous, forward-looking, implied ambiguity index. Ambiguity — the uncertainty of probabilities — is measured by the expected volatility of probabilities. Using option prices, the dynamic and continuous sn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79327a6de91fc5fb026fc7d27590808e
https://doi.org/10.2139/ssrn.3536819
https://doi.org/10.2139/ssrn.3536819
Autor:
Zur Izhakian, Manfred Knebusch
A submodule $W$ of $V$ is summand absorbing, if $x + y \in W$ implies $x \in W, \; y \in W $ for any $x, y \in V$. Such submodules often appear in modules over (additively) idempotent semirings, particularly in tropical algebra. This paper studies am
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d368427951040e97a55bbd69c868cbbb
Publikováno v:
Linear and Multilinear Algebra. 66:1461-1483
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a926c2b9d82083031aa4b17d4ceac9d4
https://doi.org/10.1080/03081087.2017.1363148
https://doi.org/10.1080/03081087.2017.1363148
Autor:
Zur Izhakian, Manfred Knebusch
Publikováno v:
Documenta Mathematica. 22:1661-1707
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3bfc9c171937fcfd49152016afeb19a4
https://doi.org/10.4171/dm/607
https://doi.org/10.4171/dm/607
Publikováno v:
Linear Algebra and its Applications. 507:420-461
This paper is a sequel to [6] , in which we introduced quadratic forms on a module over a supertropical semiring R and analyzed the set of bilinear companions of a single quadratic form V → R in case the module V is free. Any (semi)module over a se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e63d3a5042668411440dc9d11eb927f
https://doi.org/10.1016/j.laa.2016.06.001
https://doi.org/10.1016/j.laa.2016.06.001