Results 61 to 70 of about 1,695,237 (310)

Reversible Rings with Involutions and Some Minimalities

The Scientific World Journal, 2013
In continuation of the recent developments on extended reversibilities on rings, we initiate here a study on reversible rings with involutions, or, in short, *-reversible rings. These rings are symmetric, reversible, reflexive, and semicommutative.
W. M. Fakieh, S. K. Nauman
doaj   +1 more source

Security Analysis of Hybrid Attack for NTRU-Class Encryption Schemes

IEEE Access, 2023
One of the significant post-quantum cryptographic candidates is the NTRU public key cryptosystem. It operates on polynomial rings, where the parameter largely determines the security of the system.
Alla Levina, Victor Kadykov, Maheswara Rao Valluri   +2 more
doaj   +1 more source

Integral closure of rings of integer-valued polynomials on algebras

, 2014
Let $D$ be an integrally closed domain with quotient field $K$. Let $A$ be a torsion-free $D$-algebra that is finitely generated as a $D$-module. For every $a$ in $A$ we consider its minimal polynomial $\mu_a(X)\in D[X]$, i.e.
G. Peruginelli, G. Peruginelli, J.-P. Cahen, J.P. Serre, K.A. Loper, L.E. Dickson, N. Bourbaki, R. Gilmer, S. Evrard, S. Frisch, T.Y. Lam   +10 more
core   +1 more source

Invariants of (-1)-Skew Polynomial Rings under Permutation Representations [PDF]

, 2013
The symmetric group S_n acts on the skew polynomial ring A=k_{-1}[x_1,..., x_n] as permutations. For subgroups G of S_n we consider properties of the ring of invariants A^G.
E. Kirkman, J. Kuzmanovich, James J. Zhang   +2 more
semanticscholar   +1 more source

GL-EQUIVARIANT MODULES OVER POLYNOMIAL RINGS IN INFINITELY MANY VARIABLES. II [PDF]

Forum of Mathematics, Sigma, 2012
Twisted commutative algebras (tca’s) have played an important role in the nascent field of representation stability. Let $A_{d}$ be the tca freely generated by $d$ indeterminates of degree 1.
Steven V. Sam, Andrew Snowden
semanticscholar   +1 more source

Skew Polynomial Rings

Indagationes Mathematicae (Proceedings), 1968
ABSTRACTSkew polynomial rings .are considered with a multiplication defined byx•a=a1x+a1x2+…+arxr,ai∈K,where K is a (skew) field and the ai depend on a ∈ K. Under certain conditions the rings appear to be non-commutative principal ideal rings with a unique factorization.
openaire   +2 more sources

Removing Homocoupling Defects in Alkoxy/Alkyl‐PBTTT Enhances Polymer:Fullerene Co‐Crystal Formation and Stability

Advanced Functional Materials, EarlyView.
PBTTT‐OR‐R, a C14‐alkoxy/alkyl‐PBTTT polymer derivative, is of substantial interest for optoelectronics due to its specific fullerene intercalation behavior and enhanced charge‐transfer absorption. Comparing this polymer with (S) and without (O) homocoupling defects reveals that PBTTT‐OR‐R(O) forms stable co‐crystals with PC61BM, while PBTTT‐OR‐R(S ...
Zhen Liu, Jochen Vanderspikken, Paola Mantegazza, Stefania Moro, Mouna Hamid, Sigurd Mertens, Niko Van den Brande, Laurence Lutsen, Vincent Lemaur, David Beljonne, Giovanni Costantini, Koen Vandewal, Bruno Van Mele, Wouter Maes, Bart Goderis   +14 more
wiley   +1 more source

Synchrotron Radiation for Quantum Technology

Advanced Functional Materials, EarlyView.
Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader, Sakura Pascarelli, Klaus Attenkofer, Anna A. Makarova, Karsten Holldack, Kai Rossnagel, Kristiaan Temst, George Kourousias, Stefano Carretta, Caterina Biscari, Helmut Dosch   +10 more
wiley   +1 more source

NIL DERIVATIONS AND d-IDEALS ON POLYNOMIAL RINGS

Barekeng
Let  be a ring. An additive mapping  is called derivation if  satisfies Leibniz's rule, i.e.,   for every   In a special case, for each  there exists a positive integer  which depends on  such that , then  is called as a nil derivation on .
Ditha Lathifatul Mursyidah, Fitriani Fitriani, Bernadhita Herindri Samodera Utami, Ahmad Faisol   +3 more
doaj   +1 more source

An Algorithm to Compute the H-Bases for Ideals of Subalgebras

Discrete Dynamics in Nature and Society, 2021
The concept of H-bases, introduced long ago by Macauly, has become an important ingredient for the treatment of various problems in computational algebra.
Rabia, Muhammad Ahsan Binyamin, Nazia Jabeen, Adnan Aslam, Kraidi Anoh Yannick   +4 more
doaj   +1 more source