Zobrazeno 1 - 10
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pro vyhledávání: '"ROWEN, LOUIS"'
Autor:
Rowen, Louis H.
We modify the well-known tensor product of modules over a semiring, in order to treat modules over hyperrings, and, more generally, for bimodules (and bimagmas) over monoids. The tensor product of residue hypermodules is functorial. Special attention
Externí odkaz:
http://arxiv.org/abs/2410.00992
Autor:
Rowen, Louis Halle, Segev, Yoav
In earlier work we studied the structure of primitive axial algebras of Jordan type (PAJ's), not necessarily commutative, in terms of their primitive axes. In this paper we weaken primitivity and permit several pairs of (left and right) eigenvalues s
Externí odkaz:
http://arxiv.org/abs/2408.08606
Autor:
Rowen, Louis H.
We consider residue structures $R/G$ where $(G,+)$ is an additive subgroup of a ring $(R,+,\cdot)$, not necessarily an ideal. Special instances include Krasner's construction of quotient hyperfields, and Pumpluen's construction of nonassociative alge
Externí odkaz:
http://arxiv.org/abs/2403.09467
This paper treats linear algebra over a semiring pair, in a wide range of applications to tropical algebra and related areas such as hyperrings and fuzzy rings. First we present a more general category of ``pairs'' with their morphisms, called ``weak
Externí odkaz:
http://arxiv.org/abs/2310.05257
Autor:
Gatto, Letterio, Rowen, Louis
Publikováno v:
Communications in Mathematics, Volume 32 (2024), Issue 2 (Special issue: CIMPA schools "Nonassociative Algebras and related topics, Brazil'2023" and "Current Trends in Algebra, Philippines'2024") (January 3, 2024) cm:12413
Extending the theory of systems, we introduce a theory of Lie semialgebra ``pairs'' which parallels the classical theory of Lie algebras, but with a ``null set'' replacing $0$. A selection of examples is given. These Lie pairs comprise two categories
Externí odkaz:
http://arxiv.org/abs/2309.03867
We show that primitive 4-generated axial algebras of Jordan type are at most 81-dimensional.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2301.02509
Over the years questions have arisen about T-ideals of (noncommutative) polynomials. But when evaluating a noncentral polynomial in subalgebras of matrices, one often has little control in determining the specific evaluations of the polynomial. One w
Externí odkaz:
http://arxiv.org/abs/2209.01494
Hyperfields and systems are two algebraic frameworks which have been developed to provide a unified approach to classical and tropical structures. All hyperfields, and more generally hyperrings, can be represented by systems. Conversely, we show that
Externí odkaz:
http://arxiv.org/abs/2207.06739
Autor:
Rowen, Louis Halle, Segev, Yoav
"Fusion rules" are laws of multiplication among eigenspaces of an idempotent. This terminology is relatively new and is closely related to primitive axial algebras, introduced recently by Hall, Rehren, and Shpectorov. Axial algebras, in turn, are clo
Externí odkaz:
http://arxiv.org/abs/2206.04120