Results 71 to 80 of about 8,427,358 (293)
Lower Bounds for Non-Commutative Skew Circuits
Theory of Computing, 2016 Nisan (STOC 1991) exhibited a polynomial which is computable by linear sized noncommutative circuits but requires exponential sized non-commutative algebraic branching programs. Nisan’s hard polynomial is in fact computable by linear sized skew circuits (
N. Limaye +2 more
semanticscholar +1 more source
Journal of Combinatorial Designs, EarlyView.ABSTRACT Terwilliger algebras are finite‐dimensional semisimple algebras that were first introduced by Paul Terwilliger in 1992 in studies of association schemes and distance‐regular graphs. The Terwilliger algebras of the conjugacy class association schemes of the symmetric groups Sym(n) $\text{Sym}(n)$, for 3≤n≤6 $3\le n\le 6$, have been studied and ...
Allen Herman +2 more
wiley +1 more source
On Implicative and Positive Implicative GE Algebras
Bulletin of the Section of Logic, 2023 GE algebras (generalized exchange algebras), transitive GE algebras (tGE algebras, for short) and aGE algebras (that is, GE algebras verifying the antisymmetry) are a generalization of Hilbert algebras. Here some properties and characterizations of these
Andrzej Walendziak
doaj +1 more source
Solutions of quaternion-valued differential equations with or without commutativity [PDF]
arXiv, 2020 Most results on quaternion-valued differential equation (QDE) are based on J. Campos and J. Mawhin's fundamental solution of exponential form for the homogeneous linear equation, but their result requires a commutativity property. In this paper we discuss with two problems: What quaternion function satisfies the commutativity property?
arxiv
Zip and weak zip algebras in a congruence-modular variety [PDF]
Journal of Mahani Mathematical ResearchThe zip (commutative) rings, introduced by Faith and Zelmanowitz, generated a fruitful line of investigation in ring theory. Recently, Dube, Blose and Taherifar developed an abstract theory of zippedness by means of frames.
George Georgescu
doaj +1 more source
Algebras with only finitely many subalgebras [PDF]
, 2014 Let R be a commutative ring. A not necessarily commutative R-algebra A is called futile if it has only finitely many R-subalgebras. In this article we relate the notion of futility to familiar properties of rings and modules. We do this by first reducing to the case where A is commutative.
arxiv +1 more source
A Sharper Ramsey Theorem for Constrained Drawings
Journal of Graph Theory, EarlyView.ABSTRACT Given a graph G $G$ and a collection C ${\mathscr{C}}$ of subsets of Rd ${{\mathbb{R}}}^{d}$ indexed by the subsets of vertices of G $G$, a constrained drawing of G $G$ is a drawing where each edge is drawn inside some set from C ${\mathscr{C}}$, in such a way that nonadjacent edges are drawn in sets with disjoint indices.
Pavel Paták
wiley +1 more source
Some novel fixed point theorems in partially ordered metric spaces
AIMS Mathematics, 2020 Our aim in this communication is to present a new type of contraction and common fixed point results for non-continuous self mappings without using the compatibility and commutative property.
Vishal Gupta, Gerald Jungck, Naveen Mani
doaj +1 more source
Model Structures on Commutative Monoids in General Model Categories [PDF]
Journal of Pure and Applied Algebra, Volume 221, Issue 12, 2017,
Pages 3124-3168, 2014 We provide conditions on a monoidal model category $\mathcal{M}$ so that the category of commutative monoids in $\mathcal{M}$ inherits a model structure from $\mathcal{M}$ in which a map is a weak equivalence or fibration if and only if it is so in $\mathcal{M}$.
arxiv +1 more source
A Bilevel Optimal Control Method and Application to the Hybrid Electric Vehicle
Optimal Control Applications and Methods, EarlyView.Schematic representation of the Macro‐Micro method. ABSTRACT In this article we present a new numerical method based on a bilevel decomposition of optimal control problems. A strong connection between the proposed method and the classical indirect multiple shooting method is shown in the regular case, thanks to a link between the Bellman's value ...
Olivier Cots +3 more
wiley +1 more source