- Dettagli della rivista
- Formato
- Rivista
- eISSN
- 2084-0373
- Pubblicato per la prima volta
- 16 Apr 2017
- Periodo di pubblicazione
- 2 volte all'anno
- Lingue
- Inglese

#### Cerca

- Accesso libero

Graph Varieties Axiomatized by Semimedial, Medial, and Some Other Groupoid Identities

Pagine: 143 - 157

#### Astratto

Directed graphs without multiple edges can be represented as algebras of type (2, 0), so-called graph algebras. A graph is said to satisfy an identity if the corresponding graph algebra does, and the set of all graphs satisfying a set of identities is called a graph variety. We describe the graph varieties axiomatized by certain groupoid identities (medial, semimedial, autodistributive, commutative, idempotent, unipotent, zeropotent, alternative).

#### Parole chiave

- graph algebra
- groupoid
- identities
- semimediality
- mediality

#### MSC 2010

- 05C25
- 03C05

- Accesso libero

Some Upper Bounds for the Dimension of the c -Nilpotent Multiplier of a Pair of Lie Algebras

Pagine: 159 - 164

#### Astratto

The notion of the Schur multiplier of a Lie algebra

#### Parole chiave

- pair of Lie algebras
- Schur multiplier
- nilpotent Lie algebra

#### MSC 2010

- 17B30
- 17B60
- 17B99

- Accesso libero

Commutativity with Derivations of Semiprime Rings

Pagine: 165 - 175

#### Astratto

Let

(1) a derivation

(i) [

(ii) [^{2}(^{2}(

(iii) [^{2}, ^{2}] − [

(iv) [^{2}), ^{2})] − [

(v) [^{2}, ^{2}] ∈

(2) a non-zero derivation

(i)

(ii)

Then

#### Parole chiave

- semiprime rings
- derivations
- torsion free rings
- central ideal

#### MSC 2010

- 16W25
- 16N60
- 16U80

- Accesso libero

Near Rings Characterized By Intuitionistic Fuzzy Bi Ideals

Pagine: 177 - 186

#### Astratto

Generalizing the concept of fuzzy bi ideals of near rings, the notion of intuitionistic fuzzy bi ideals of near rings is introduced. We also characterize and investigate some related properties of intuitionistic fuzzy bi ideals of near rings.

#### Parole chiave

- near rings
- fuzzy bi ideals
- intuitionistic fuzzy subnear ring
- intuitionistic fuzzy ideals
- intuitionistic fuzzy bi ideals

#### MSC 2010

- 16D25
- 03E72
- 03F55
- 16Y30

- Accesso libero

A Note on Generalized Hybrid Tribonacci Numbers

Pagine: 187 - 199

#### Astratto

In this paper, we introduce the generalized hybrid Tribonacci numbers. These numbers can be considered as a generalization of the generalized complex Tribonacci, generalized hyperbolic Tribonacci and generalized dual Tribonacci numbers. We also obtain some identities for these numbers.

#### Parole chiave

- complex numbers
- hyperbolic numbers
- dual numbers
- hybrid numbers
- generalized Tribonacci numbers

#### MSC 2010

- Primary: 11B37
- Secondary: 11B39, 97F50

- Accesso libero

On the Partial Finite Alternating Sums of Reciprocals of Balancing and Lucas-Balancing Numbers

Pagine: 201 - 216

#### Astratto

In this note, the finite alternating sums of reciprocals of balancing and Lucas-balancing numbers are considered and several identities involving these sums are deduced.

#### Parole chiave

- balancing numbers
- Lucas-balancing numbers
- partial sums
- reciprocal
- floor function

#### MSC 2010

- 11B37
- 11B39

- Accesso libero

The Cayley Sum Graph of Ideals of a Lattice

Pagine: 217 - 230

#### Astratto

Let _{L,S}_{L,S}_{L,S}

#### Parole chiave

- lattice
- Cayley graph
- ring graph
- outerplanar graph

#### MSC 2010

- 05C69
- 05C75
- 06B10

- Accesso libero

Characterization of Almost Semi-Heyting Algebra

Pagine: 231 - 243

#### Astratto

In this paper, we initiate the discourse on the properties that hold in an almost semi-Heyting algebra but not in an semi-Heyting almost distributive lattice. We establish an equivalent condition for an almost semi-Heyting algebra to become a Stone almost distributive lattice. Moreover a glance about dense elements in an almost semi-Heyting algebra followed by study of some algebraic properties on them. Finally, we perceive that the kernel of homomorphism is equal to the dense element set.

#### Parole chiave

- almost distributive lattice
- semi-Heyting almost distributive lattice
- almost semi-Heyting algebra
- dense element and stone almost distributive lattice

#### MSC 2010

- Primary 06D99
- Secondary 06D20

- Accesso libero

Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials

Pagine: 245 - 265

#### Astratto

In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the generating functions of the products of bivariate complex Fibonacci polynomials with Gaussian Fibonacci, Gaussian Lucas and Gaussian Jacobsthal numbers, Gaussian Pell numbers, Gaussian Pell Lucas numbers. By making use of the operator defined in this paper, we give some new generating functions of the products of bivariate complex Fibonacci polynomials with Gaussian Jacobsthal, Gaussian Jacobsthal Lucas polynomials and Gaussian Pell polynomials.

#### Parole chiave

- symmetric functions
- generating functions
- bivariate complex Fibonacci polynomials
- bivariate complex Lucas polynomials

#### MSC 2010

- Primary 05E05
- Secondary 11B39

#### Astratto

In this paper we investigate some isomorphism theorems in EQ-algebras. After establishing some basic results we give the Fundamental Homomorphism Theorem and by using it we state and prove some other isomorphism theorems. We also state and prove a correspondence theorem. Next, using some results of the theory of universal algebra we characterize subdirectly irreducible EQ-algebras.

#### Parole chiave

- many-valued logics
- Fuzzy type theory
- EQ-algebra
- homomorphism theorems

#### MSC 2010

- 03B15
- 08A72

#### Astratto

In this paper, we discuss sums of powers 1^{p}^{p }^{p}

#### Parole chiave

- sum of powers
- exponential polynomial
- geometric polynomial
- generating function
- harmonic numbers
- exponential integral function

#### MSC 2010

- 11B68
- 11B73
- 11C08

- Accesso libero

Completely Prime Hyperideals of Ternary Semihypergroups

Pagine: 285 - 295

#### Astratto

In this article, we introduce the notions of pseudosymmetric hyperideals and globally idempotent ternary semihypergroups and present various examples for them. We prove that if a ternary semihypergroup is globally idempotent, then every maximal hyperideal is a prime hyperideal. Also we study some properties of prime, completely prime and pseudosymmetric hyperideals of a ternary semihypergroup and characterize them. The interrelation among them is considered in ternary semihypergroups.

#### Parole chiave

- pseudosymmetric
- globally idempotent
- leftsimple ternary semi-hypergroup

#### MSC 2010

- 20N20
- 20M12

#### Astratto

In this paper, we introduce the notion of

#### Parole chiave

- incline
- integral incline
- regular incline
- mono incline
- prime ideal
- maximal ideal
- -ideal
- -ideal
- --ideal

#### MSC 2010

- 16A09
- 06F25

- Accesso libero

β -Prime Spectrum of Stone Almost Distributive Lattices

Pagine: 311 - 326

#### Astratto

The notion of boosters and _{β}_{0}(_{0}(

#### Parole chiave

- Almost Distributive Lattice (ADL)
- stone ADL
- relatively complemented ADL
- ideal
- filter
- booster
- -filters
- isomorphism
- compact set
- Hausdorff space

#### MSC 2010

- 06D99
- 06D15