Results 151 to 160 of about 14,992,722 (358)

A Classification of Computational Assumptions in the Algebraic Group Model

IACR Cryptology ePrint Archive, 2020
B. Bauer, Georg Fuchsbauer, J. Loss
semanticscholar   +1 more source

Layers of generality and types of generalization in pattern activities [PDF]

, 2010
Pattern generalization is considered one of the prominent routes for in-troducing students to algebra. However, not all generalizations are al-gebraic. In the use of pattern generalization as a route to algebra, we —teachers and educators— thus have to ...
Radford, Luis
core  

Differential algebraic group structures on the plane

, 1980
The differential algebraic group structures on the affine line and plane are classified. The additive group G a {G_a} of the coefficient field is the only differential algebraic group structure on the
Phyllis J. Cassidy
core   +1 more source

Colourings of Uniform Group Divisible Designs and Maximum Packings

Journal of Combinatorial Designs, EarlyView.
ABSTRACT A weak c $c$‐colouring of a design is an assignment of colours to its points from a set of c $c$ available colours, such that there are no monochromatic blocks. A colouring of a design is block‐equitable, if for each block, the number of points coloured with any available pair of colours differ by at most one.
Andrea C. Burgess, Peter Danziger, Diane Donovan, Tara Kemp, James G. Lefevre, David A. Pike, E. Şule Yazıcı   +6 more
wiley   +1 more source

Signed Projective Cubes, a Homomorphism Point of View

Journal of Graph Theory, EarlyView.
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen, Reza Naserasr, Alessandra Sarti   +2 more
wiley   +1 more source

Degree bounds for separating invariants [PDF]

, 2010
If V is a representation of a linear algebraic group G, a set S of G-invariant regular functions on V is called separating if the following holds: If two elements v,v' from V can be separated by an invariant function, then there is an f from S such that ...
Martin Kohls, Kohls, Martin, Kraft, Hanspeter, Hanspeter Kraft   +3 more
core  

Stable Cuts, NAC‐Colourings and Flexible Realisations of Graphs

Journal of Graph Theory, EarlyView.
ABSTRACT A (2‐dimensional) realisation of a graph G $G$ is a pair ( G , p ) $(G,p)$, where p $p$ maps the vertices of G $G$ to R 2 ${{\mathbb{R}}}^{2}$. A realisation is flexible if it can be continuously deformed while keeping the edge lengths fixed, and rigid otherwise.
Katie Clinch, Dániel Garamvölgyi, John Haslegrave, Tony Huynh, Jan Legerský, Anthony Nixon   +5 more
wiley   +1 more source

Hulls of Linear Codes over Non-Unitary Rings of Four Elements

Mathematics
In this paper, we explore the hull of linear codes over the non-unitary rings of order four, namely E, I and H. Initially, we determine the binary associated codes of the hull over each ring; then, we characterize the hulls in terms of these codes ...
Sarra Manseri, Patrick Sole, Adel Alahmadi, Asmaa Melaibari   +3 more
doaj   +1 more source

Subalgebras of Group Algebras [PDF]

Proceedings of the American Mathematical Society, 1969
I. Let G be a locally compact group and m its Haar measure. For any m-measurable subset S of G, let L(S) be the subspace of L1(G) consisting of elements f such that fG\S If I dm =0. If S is a subsemigroup then L(S) is a subalgebra of L1(G). Various papers ([4], [5] and [7]) have been devoted to the study of L(S) and to the question of whether there is ...
openaire   +2 more sources

Symmetric Units and Group Identities in Group Algebras

, 2006
We describe those group algebras over fields of characteristic different from 2 whose units symmetric with respect to the classical involution, satisfy some group ...
Bódi, Viktor, Bovdi, Victor
core