- Dettagli della rivista
- Formato
- Rivista
- eISSN
- 1338-9750
- Pubblicato per la prima volta
- 12 Nov 2012
- Periodo di pubblicazione
- 3 volte all'anno
- Lingue
- Inglese

#### Cerca

#### Astratto

- Accesso libero

The Zariski Topology on the Graded Primary Spectrum Over Graded Commutative Rings

Pagine: 7 - 16

#### Astratto

Let _{g}s_{h}∈P_{g}∈ P_{h}∈ Gr_{g},s_{g}∈ h_{g}_{g}_{g}

#### Parole chiave

- Zariski topology
- graded primary spectrum
- graded primary ideals

#### MSC 2010

- 13A02
- 16W50

#### Astratto

In a fuzzified probability theory, random events are modeled by measurable functions into [0,1] and probability measures are replaced with probability integrals. The transition from Boolean two-valued logic to Lukasiewicz multivalued logic results in an upgraded probability theory in which we define and study asymmetrical stochastic dependence/independence and conditional probability based on stochastic channels and joint experiments so that the classical constructions follow as particular cases. Elementary categorical methods enable us to put the two theories into a perspective.

#### Parole chiave

- measurable function
- stochastic dependence
- fuzzy random event
- observable
- probability measure
- probability integral
- state map
- statistical map
- joint experiment
- asymmetrical independence

#### MSC 2010

- 26E50
- 28A35
- 60A86
- 60A05

#### Astratto

In this paper, we have studied the idea of ideal completeness of function spaces ^{X}^{X}^{X}

#### Parole chiave

- ideal
- filter
- uniform space
- -Cauchy condition
- -convergence
- ideal completeness

#### MSC 2010

- Primary 54A20
- Secondary 40A35, 54E15

- Accesso libero

Product of Measurable Spaces and Applications

Pagine: 47 - 56

#### Astratto

We deal with products of measurable spaces and relationships between measures on products and asymmetrical stochastic dependence/independence of one extended probability space on another one.

#### Parole chiave

- Measurable space
- measurable function
- product of measurable spaces
- probability measure on product
- probability integral
- observable
- degenerated observable
- statistical map
- joint probability space
- extended probability space
- -joint extended probability space
- stochastic dependence
- asymmetrical stochastic independence
- extended outcome
- conditional expectation
- conditional probability

#### MSC 2010

- 28A35
- 60A86
- 60A05
- 18A32

- Accesso libero

A Short Proof of Alienation of Additivity from Quadraticity

Pagine: 57 - 62

#### Astratto

Without the use of pexiderized versions of abstract polynomials theory, we show that on 2-divisible groups the functional equation

forces the unknown functions

Motivated by the observation that the equation

implies both the additivity and multiplicativity of

#### Parole chiave

- alienation phenomenon
- additive and quadratic mappings
- systems of functional equations

#### MSC 2010

- 39B52
- 39B72

- Accesso libero

A Three Dimensional Modification of the Gaussian Number Field

Pagine: 63 - 76

#### Astratto

For vectors in _{3} we introduce an associative, commutative and distributive multiplication. We describe the related algebraic and geometrical properties, and hint some applications.

Based on properties of hyperbolic (Clifford) complex numbers, we prove that the resulting algebra 𝕋 is an associative algebra over a field and contains a subring isomorphic to hyperbolic complex numbers. Moreover, the algebra 𝕋 is isomorphic to direct product ℂ

#### Parole chiave

- Normed field
- three dimensions
- factor ring
- generalized complex numbers

#### MSC 2010

- 12J05
- 12D99
- 11R52

- Accesso libero

Generalized Derivative and Generalized Continuity

Pagine: 77 - 84

#### Astratto

The main objective of this article is to show that generalized differentiation can be understood as a process of comparing functions and their generalized continuity properties. We show it by working with generalized notions of derivative and continuity. The article covers wide range of types of generalized continuity.

#### Parole chiave

- generalized derivative
- generalized continuity
- -continuity
- -continuity

#### MSC 2010

- Primary 54C08, 26A24, 26A21
- Secondary 26A06, 54C30, 26A99

- Accesso libero

How to Obtain Maximal and Minimal Subranges of Two-Dimensional Vector Measures

Pagine: 85 - 90

#### Astratto

Let (_{1}, _{2}). Denote by _{p}_{p}_{p}

#### Parole chiave

- Lyapunov convexity theorem
- range of a vector measure
- maximal subset
- maximal subrange of a vector measure

#### MSC 2010

- Primary 60A10
- Secondary 28A10

- Accesso libero

On Functions of Bounded (φ, k )-Variation

Pagine: 91 - 116

#### Astratto

Given a ^{(}^{k−}^{1)} is absolutely continuous on [^{(}^{k}^{)} belongs to the Orlicz class _{φ}

#### Parole chiave

- Riesz -variation
- De la Vallée Poussin second-variation
- Popoviciu th variation
- bounded ()-variation

#### MSC 2010

- 93B05
- 93C25

- Accesso libero

On One Application of Infinite Systems of Functional Equations in Function Theory

Pagine: 117 - 144

#### Astratto

The paper presents the investigation of applications of infinite systems of functional equations for modeling functions with complicated local structure that are defined in terms of the nega-˜

where

#### Parole chiave

- Function with complicated local structure
- systems of functional equations
- singular function
- nowhere differentiable function
- distribution function
- nowhere monotone function
- ̃-representation
- nega-̃-representation
- Lebesgue integral

#### MSC 2010

- 39B72
- 11K55
- 26A27
- 26A30
- 26A42

#### Astratto

We discuss several questions about Borel measurable functions on a topological space. We show that two Lindenbaum composition theorems [Lindenbaum, A. ^{0}_{2}-measurable functions.

#### Parole chiave

- semicontinuous function
- Young hierarchy
- Δ-measurable function
- composition
- piecewise continuous

#### MSC 2010

- Primary 26A21
- Secondary 26A15, 54C50

- Accesso libero

Strictly Increasing Additive Generators of the Second Kind of Associative Binary Operations

Pagine: 159 - 176

#### Astratto

The class of strictly increasing additive generators of the second kind is defined and analyzed. Necessary and sufficient conditions for a binary operation generated by a strictly increasing additive generator of the second kind to be associative are introduced. The relation between the class of strictly increasing additive generators of the second kind of associative binary operations and the class of discrete upper additive generators of associative binary operations is revealed.

#### Parole chiave

- additive generator
- aggregation function
- associativity
- discrete additive generator
- t-conorm

#### MSC 2010

- 03E72
- 06F05