Zobrazeno 1 - 10
of 192
pro vyhledávání: '"Louis Rowen"'
Publikováno v:
Linear and Multilinear Algebra. :1-10
The generalized L'vov-Kaplansky conjecture states that for any finite-dimensional simple algebra $A$ the image of a multilinear polynomial on $A$ is a vector space. In this paper we prove it for the algebra of octonions $\mathbb{O}$ over a field sati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::651b5597037c34f694816ebbeb5d4e6d
https://doi.org/10.1080/03081087.2022.2158170
https://doi.org/10.1080/03081087.2022.2158170
Autor:
Louis Rowen
Publikováno v:
European Journal of Mathematics. 8:62-138
Our objective in this project is three-fold, the first two covered in this paper. In tropical mathematics, as well as other mathematical theories involving semirings, when trying to formulate the tropical versions of classical algebraic concepts for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51d657787fa0c334bdaa51a46aec90fb
https://doi.org/10.1007/s40879-021-00499-0
https://doi.org/10.1007/s40879-021-00499-0
Publikováno v:
International Journal of Algebra and Computation. 31:37-62
We find a semigroup [Formula: see text], whose category of partial representations contains the representation category [Formula: see text] of the free left regular band [Formula: see text]. We use this to construct a resolution for the absolute kern
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bdfbc1019c3b3c769944a0ead635e7ee
https://doi.org/10.1142/s021819672150003x
https://doi.org/10.1142/s021819672150003x
We introduce a theory of Clifford semialgebra systems, with application to representation theory via Hasse-Schmidt derivations on exterior semialgebras. Our main result, after the construction of the Clifford semialgebra, is a formula describing the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9d7d065dd3ee9c68dd4bea02b4507d9
http://hdl.handle.net/11583/2961538
http://hdl.handle.net/11583/2961538
We develop a general axiomatic theory of algebraic pairs, which simultaneously generalizes several algebraic structures, in order to bypass negation as much as feasible. We investigate several classical theorems and notions in this setting including
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa0ce54b49bafa950f1ad732cce965e0
Publikováno v:
Algebras and Representation Theory. 23:1807-1826
Given a monic separable polynomial π of degree 2n over an arbitrary field and a scalar α, we define generic algebras Hπ and $\mathcal {A}_{\alpha \pi }$ for the decomposition of π into a product of two polynomials of degree n and for the factoriz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::535a46a9a941ff8f38e11d3a67066c37
https://doi.org/10.1007/s10468-019-09914-3
https://doi.org/10.1007/s10468-019-09914-3
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:
Louis Rowen
Publikováno v:
Contemporary Mathematics. :317-335
We describe triples and systems, expounded as an axiomatic algebraic umbrella theory for classical algebra, tropical algebra, hyperfields, and fuzzy rings.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::406d9682d43535fccba62f4242fef9e0
https://doi.org/10.1090/conm/727/14644
https://doi.org/10.1090/conm/727/14644
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:
Louis Rowen, Yoav Segev
The Peirce decomposition of a Jordan algebra with respect to an idempotent is well known. This decomposition was taken one step further and generalized recently by Hall, Rehren and Shpectorov, withtheir introduction of {\it axial algebras}, and in pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02df2fa1919a933603d6267e5c5cbac3