Results 1 to 10 of about 354 (175)

Hybrid structure of maximal ideals in near rings

Complex & Intelligent Systems
A hybrid structure is an arrangement that makes use of many hierarchical reporting structures and is applied to algebraic structures such as groups and rings.
B. Jebapresitha
core   +2 more sources

p-adic vertex operator algebras. [PDF]

Res Number Theory, 2023
Franc C, Mason G.
europepmc   +1 more source

Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. [PDF]

Mon Hefte Math, 2023
Fadinger-Held V, Frisch S, Windisch D.
europepmc   +1 more source

Representación de números primos mediante formas cuadráticas [PDF]

, 2017
The well-known seventeenth century mathematician Pierre de Fermat left some interesting results on integers and how to represent them as sums of powers – all of them unproved.
Mazuelos Jiménez, Elisa
core  

Combining Higher-Order Logic with Set Theory Formalizations. [PDF]

J Autom Reason, 2023
Kaliszyk C, Pąk K.
europepmc   +1 more source

Failure and recovery of unique factorization in rings of integers

The fundamental theorem of arithmetic states that every integer n > 1 can be factored uniquely into prime numbers: n=p1···pr. In this thesis, we explore how algebraic number theory emerged from an attempt to generalize the arithmetic properties of Z ...
Pavlic, Oliver
core  

On Integers, Primes and UniqueFactorization in Quadratic Fields

, 2013
. This thesis will deal with quadratic elds. The prob- lem is to study such elds and their properties including, but not limited to, determining integers, nding primes and deciding which quadratic elds have unique factorization. The goal is to get famil-
Hedenlund, Alice
core  

Unlikely intersections on the p-adic formal ball. [PDF]

Res Number Theory, 2023
Serban V.
europepmc   +1 more source

Non Associative Algebraic Structures Using Finite Complex Numbers

, 2012
Authors in this book for the first time have constructed nonassociative structures like groupoids, quasi loops, non associative semirings and rings using finite complex modulo integers. The Smarandache analogue is also carried out.
Kandasamy, W.B. Vasantha, Smarandache, Florentin   +1 more
core  

Noncyclic BCH and Srivastava codes over the subgroup of the groups of units of Galois rings [Formula: see text] for advanced error control. [PDF]

Sci Rep
Sajjad M, Bashir Q, Haleemzai I, Abdalrahem MK, Hazzazi MM.   +4 more
europepmc   +1 more source