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UNIVARIATE ORE POLYNOMIAL RINGS IN COMPUTER ALGEBRA
UNIVARIATE POLYNOMIAL RINGS COMPUTER ALGEBRA
2013/9/3
We present some algorithms related to rings of Ore polynomials (or, briefly, Ore rings) and describe a computer algebra library for basic operations in an arbitrary Ore ring. The library can be used a...
Hyperexponential Solutions of Finite-rank Ideals in Orthogonal Ore Rings
Linear partial differential systems Linear partial difference systems Ore rings Hyperexponential solutions
2013/9/3
An orthogonal Ore ring is an abstraction of common properties of linear partial differential, shift and q-shift operators.Using orthogonal Ore rings, we present an algorithm for finding hyperexponenti...
Electronic Properties of Coupled Quantum Rings in the Presence of a Magnetic Field
Electronic Properties Coupled Quantum Rings a Magnetic Field
2010/10/22
We have studied the energy spectrum of a system formed by two concentric, coupled, semiconductor quantum rings. We have investigated the effect of a uniform magnetic field applied along the rings axis...
On the Nilpotency Class of Lie Rings With Fixed-Point-Free Automorphisms
automorphisms Lie rings
2010/2/26
Let L be a solvable Lie ring with derived length s. Assume that L admits an automorphism f of prime order p\geq 11 such that CL(f)=0. It is proved that the class of L is less than \frac{(p-2)s+1}{(p-3...
On Jordan Generalized Higher Derivations in Rings
Higher Derivations Generalized Higher Derivations Commutator
2010/2/26
I. N. Herstein proved that any Jordan derivation on a prime ring of characteristic not 2 is a derivation. M. Breşar extended this result to semiprime rings, while M. Ferrero and C. Haetinger exte...
On near-rings with two-sided a-derivations
Prime near-ring semiprime near-ring (a, 1)-derivation (1, a)-derivation two-sided a-derivation
2010/2/26
In this paper, we introduce the notion of two-sided a-derivation of a near-ring and give some generalizations of [1]. Let N be a near ring. An additive mapping f: N\rightarrow N is called an { \it (a,...
On Orthogonal Generalized Derivations of Semiprime Rings
derivation orthogonal derivations generalized derivation orthogonal generalizedderivations prime ring semiprime ring
2010/2/26
In this paper, we present some results concerning two generalized derivations on a semiprime ring. These results are a generalization of results of M. Bre\u{s}ar and J. Vukman in [2], which are relate...
Characterizations of Augmented Graded Rings
Graded rings Augmented graded rings Strongly graded rings
2010/2/26
In this paper, we introduce some characterizations for augmented graded rings in special cases.
On q-Euclidean L-Fuzzy Ideals of Rings
Ideal Fuzzy ideal Level subset q -Euclidean level ideal q -Euclidean L-fuzzy ideal
2010/2/26
In this paper we define a q-Euclidean level subset and a q-Euclidean level ideal. We also give some properties of a q-Euclidean level subset.
On Intuitionistic Fuzzy Subhypernear-rings of Hypernear-Rings
Fuzzy subhypernear-ring intuitionistic fuzzy subhypernear-ring upper (resp. lower) t-level cut homomorphism
2010/3/1
In this paper, we introduce the concept of an intuitionistic fuzzy subhypernear-ring of a hypernear-ring and obtain some results in this connection.
An Investigation of the Interaction of 4-Membered Rings with Adjacent Carbanion Centers
Carbanions cyclobutylcarbinyl cyclopropylcarbinyl strained molecules
2010/4/22
A series of cyclobutylcarbinyl phenyl ketones was prepared and the rates of base catalyzed hydrogen-deuterium exchange of a -hydrogen atoms were compared with those of appropriate model compounds, to ...
On Derivations of Prime Gamma Rings
Derivation gamma ring prime gamma ring quotient gamma ring
2010/3/1
We consider some results in a G-ring M with derivation which is related to Q, and the quotient G-ring of M.
Fuzzy Ideals in Gamma-Rings
(Artinian, Noetherian) G-ring fuzzy left (right) ideal level left (right) ideal
2010/3/1
The converse of [7, Theorem 3.3] is provided. For an Artinian G-ring, a few results are investigated.
Characterizations of Artinian and Noetherian Gamma-Rings in Terms of Fuzzy Ideals
(Artinian, Noetherian) G-ring fuzzy left (right) ideal G-residue class ring
2010/3/1
Using fuzzy ideals, characterizations of Noetherian G-rings are given, and a condition for a G-ring to be Artinian is also given.
q-Euclidean L-fuzzy Ideals of Rings
Fuzzy quotient ring isomorphism of rings q -Euclidean L-fuzzy ideal
2010/3/1
concept of fuzzy ideals is extended by introducing q -Euclidean L-fuzzy ideals in rings. In particular, some structural theorems for a q -Euclidean L-fuzzy ideal of R are proved.