Modular categories, integrality and Egyptian fractions

P Bruillard, E Rowell - Proceedings of the American Mathematical Society, 2012 - ams.org
Modular categories with property (b) of rank at most 11 are shown to be pointed in Theorem
… about modular categories. We address the classification problem for modular categories

Smart informatics & Egyptology: A modern inter-disciplinary forum studying an ancient culture of pre-& proto-scientific logistics & intelligence

A Maravelia - … on Intelligent Computing and Information Systems …, 2017 - ieeexplore.ieee.org
FRACTIONS: As mentioned above, the way of thinking of the ancient Egyptians was very close
… A com puter, when dealing with fractions, treats them as binary unita ry fractions. A unitary …

On odd-dimensional modular tensor categories

A Czenky, J Plavnik - Algebra & Number Theory, 2022 - msp.org
… a new modular category from a given modular category with a … the modular category to a
G-crossed braided fusion category… and then take the equivariantization of the resulting category. …

[PDF][PDF] Decimal floating point arithmetic unit based on a fused multiply add module

AM ElTantawy - Master's thesis, Cairo University, 2011 - eece.cu.edu.eg
… However, there are some modifications performed to enable the module to fit in our FMA as
a whole, achieving higher speed or removing unnecessary area. The selected design and its …

Modular categories with transitive Galois actions

SH Ng, Y Wang, Q Zhang - Communications in Mathematical Physics, 2022 - Springer
modular categories whose Galois group action on their simple objects are transitive. We show
that such modular categories … ) associated with transitive modular categories are proven to …

[图书][B] An introduction to the early development of mathematics

MKJ Goodman - 2016 - books.google.com
… multiplication or Egyptian fractions or any similar operation based on ancient methods. In
many ways, this is a “how to” book. How to solve a Chinese problem in a Chinese way. …

Rad-Projective δ-Covers

Y Ibrahim, M Yousif - Noncommutative Rings and Their …, 2015 - books.google.com
… Throughout this paper every ring R is associative with unity, all modules are unitary R-modules
and we denote by Mod-R for the category of right R-modules. If M is an R-module, we …

[图书][B] The Modular Design of New Kingdom Tombs at Saqqara

MJ Raven - 2003 - academia.edu
… is the equivalent of 3 modules, the side of a module would be 3.30 m. … modules; one modular
length is then 3.303 m. The width of the pylon is 16.52 m or 5 modules; this gives a modular

Homomorphisms with semilocal endomorphism rings between modules

F Campanini, SF El-Deken, A Facchini - Algebras and Representation …, 2020 - Springer
… In terms of the categorical equivalence between the categories Morph(Mod-R) and Mod-T
(… right T -module MT the right R-modules Me11, Me22, and the pair of right R-modules (Me11,…

On modular categories with Frobenius-Perron dimension congruent to 2 modulo 4

A Chakravarthy, A Czenky, J Plavnik - arXiv preprint arXiv:2308.12546, 2023 - arxiv.org
… of modular categories C with FPdim(C) ≡ 2 (mod 4). We prove that such categories have …
where C is an odd-dimensional modular category and semion is the rank 2 pointed modular