Sarala Yella - Academia.edu (original) (raw)

Papers by Sarala Yella

Research paper thumbnail of T-Systems in Ternary Semigroups

In this paper, we introduce the notions of right T-system transitive, T-homomorphism, semispace i... more In this paper, we introduce the notions of right T-system transitive, T-homomorphism, semispace in ternary semigroups. We characterize different classes of ternary semigroups by the properties of their right T-system and T-homomorphism.

Research paper thumbnail of Special Types of Ternary Semigroups

Abstract: The main goal of this paper is to initiate the notions of U-ternarysemigroup and V-tern... more Abstract: The main goal of this paper is to initiate the notions of U-ternarysemigroup and V-ternary semigroup in the class of orbitary ternarysemigroups. We study prime ideals and maximal ideals in a U-ternarysemigroup and characterize V-ternary semigroup. It is proved that if T is a globally idempotent ternarysemigroups with maximal ideal, then either T is a V-ternarysemigroup or T has a unique maximal ideal which is prime. Finally we proved that a ternarysemigroup T is a V-ternarysemigroup if and only if T has atleast one proper prime ideal and if { } is the family of all proper prime ideals, then < x> =T for x T\U or T is a simple ternarysemigroup.

Research paper thumbnail of Algebraic Structures in Ternary Semigroups

Research paper thumbnail of Special Types of Ternary Semigroups V . Jyothi

The main goal of this paper is to initiate the notions of U-ternarysemigroup and V-ternary semigr... more The main goal of this paper is to initiate the notions of U-ternarysemigroup and V-ternary semigroup in the class of orbitary ternarysemigroups. We study prime ideals and maximal ideals in a Uternarysemigroup and characterize V-ternary semigroup. It is proved that if T is a globally idempotent ternarysemigroups with maximal ideal, then either T is a V-ternarysemigroup or T has a unique maximal ideal which is prime. Finally we proved that a ternarysemigroup T is a V-ternarysemigroup if and only if T has atleast one proper prime ideal and if { } is the family of all proper prime ideals, then < x > =T for x T\U or T is a simple ternarysemigroup.

Research paper thumbnail of Maximal quasi – Hyderideals in ternary semihypergroups

ESSENCE OF MATHEMATICS IN ENGINEERING APPLICATIONS: EMEA-2020, 2021

In this article, we introduce the aero-quasi-simple and maximal quasi hyperideal and few properti... more In this article, we introduce the aero-quasi-simple and maximal quasi hyperideal and few properties of them were investigates.

Research paper thumbnail of Pseudosymmetric hyperideals in ternary semi hypergroups

ESSENCE OF MATHEMATICS IN ENGINEERING APPLICATIONS: EMEA-2020, 2021

In this paper we introduce pseudosymmetric hyperideals of a ternary semi hypergroup. We also stud... more In this paper we introduce pseudosymmetric hyperideals of a ternary semi hypergroup. We also study some properties of principal hyperideal; completely semiprime hyperideal of a TSHG and characterized them. The interrelation among them is examined in ternary semi hypergroups extending the related results from semigroups.

Research paper thumbnail of Completely semiprime hyperideals in ternary semi hypergroups

ESSENCE OF MATHEMATICS IN ENGINEERING APPLICATIONS: EMEA-2020, 2021

In this article we study some properties of principal hyperideal; completely semiprime hyperideal... more In this article we study some properties of principal hyperideal; completely semiprime hyperideal of a ternary semi hypergroup and characterized them. The interrelation among them is examined in ternary semi hypergroups extending the related results from semigroups.

Research paper thumbnail of Bi-Hyperideals in Ternary Semihypergroups

Advances in Mathematics: Scientific Journal, 2020

In this article, we characterize the properties of bi-hyperideals in ternary semihypergroups, the... more In this article, we characterize the properties of bi-hyperideals in ternary semihypergroups, the relationship between zero-minimal bi-hyperideals and zero-B-simple ternary semihypergroups and the relationship between maximal bi-hyperideals, B-simple and zero-B-simple ternary semihypergroups.

Research paper thumbnail of Ideals in Ternary Semigroups

Research paper thumbnail of SPECIAL TYPES OF TERNARY SEMIGROUPS

x T\U or T is a simple ternarysemigroup. Definition 2.1: Let T ≠ . Then T is called a ternarysemi... more x T\U or T is a simple ternarysemigroup. Definition 2.1: Let T ≠ . Then T is called a ternarysemigroup if being existence a mapping from T T T to T which maps (pqr) [ pqr] satisfying the condition :[(pqr) st] = [ p(qrs)t] = [pq(rst)] for all p, q, r, s, t T. Definition 2.2: An idempotent component e T is said to be left (or lateral or right) identity of the if eaa = a(or aea = a or aae = a) for all a T. Left (or lateral or right) identity may not be unique. But if e is an identity (i.e. e plays the role of left lateral and right identity simultaneously) then e is unique. V. Jyothi et al.

Research paper thumbnail of T-Systems in Ternary Semigroups

In this paper, we introduce the notions of right T-system transitive, T-homomorphism, semispace i... more In this paper, we introduce the notions of right T-system transitive, T-homomorphism, semispace in ternary semigroups. We characterize different classes of ternary semigroups by the properties of their right T-system and T-homomorphism.

Research paper thumbnail of Special Types of Ternary Semigroups

Abstract: The main goal of this paper is to initiate the notions of U-ternarysemigroup and V-tern... more Abstract: The main goal of this paper is to initiate the notions of U-ternarysemigroup and V-ternary semigroup in the class of orbitary ternarysemigroups. We study prime ideals and maximal ideals in a U-ternarysemigroup and characterize V-ternary semigroup. It is proved that if T is a globally idempotent ternarysemigroups with maximal ideal, then either T is a V-ternarysemigroup or T has a unique maximal ideal which is prime. Finally we proved that a ternarysemigroup T is a V-ternarysemigroup if and only if T has atleast one proper prime ideal and if { } is the family of all proper prime ideals, then < x> =T for x T\U or T is a simple ternarysemigroup.

Research paper thumbnail of Algebraic Structures in Ternary Semigroups

Research paper thumbnail of Special Types of Ternary Semigroups V . Jyothi

The main goal of this paper is to initiate the notions of U-ternarysemigroup and V-ternary semigr... more The main goal of this paper is to initiate the notions of U-ternarysemigroup and V-ternary semigroup in the class of orbitary ternarysemigroups. We study prime ideals and maximal ideals in a Uternarysemigroup and characterize V-ternary semigroup. It is proved that if T is a globally idempotent ternarysemigroups with maximal ideal, then either T is a V-ternarysemigroup or T has a unique maximal ideal which is prime. Finally we proved that a ternarysemigroup T is a V-ternarysemigroup if and only if T has atleast one proper prime ideal and if { } is the family of all proper prime ideals, then < x > =T for x T\U or T is a simple ternarysemigroup.

Research paper thumbnail of Maximal quasi – Hyderideals in ternary semihypergroups

ESSENCE OF MATHEMATICS IN ENGINEERING APPLICATIONS: EMEA-2020, 2021

In this article, we introduce the aero-quasi-simple and maximal quasi hyperideal and few properti... more In this article, we introduce the aero-quasi-simple and maximal quasi hyperideal and few properties of them were investigates.

Research paper thumbnail of Pseudosymmetric hyperideals in ternary semi hypergroups

ESSENCE OF MATHEMATICS IN ENGINEERING APPLICATIONS: EMEA-2020, 2021

In this paper we introduce pseudosymmetric hyperideals of a ternary semi hypergroup. We also stud... more In this paper we introduce pseudosymmetric hyperideals of a ternary semi hypergroup. We also study some properties of principal hyperideal; completely semiprime hyperideal of a TSHG and characterized them. The interrelation among them is examined in ternary semi hypergroups extending the related results from semigroups.

Research paper thumbnail of Completely semiprime hyperideals in ternary semi hypergroups

ESSENCE OF MATHEMATICS IN ENGINEERING APPLICATIONS: EMEA-2020, 2021

In this article we study some properties of principal hyperideal; completely semiprime hyperideal... more In this article we study some properties of principal hyperideal; completely semiprime hyperideal of a ternary semi hypergroup and characterized them. The interrelation among them is examined in ternary semi hypergroups extending the related results from semigroups.

Research paper thumbnail of Bi-Hyperideals in Ternary Semihypergroups

Advances in Mathematics: Scientific Journal, 2020

In this article, we characterize the properties of bi-hyperideals in ternary semihypergroups, the... more In this article, we characterize the properties of bi-hyperideals in ternary semihypergroups, the relationship between zero-minimal bi-hyperideals and zero-B-simple ternary semihypergroups and the relationship between maximal bi-hyperideals, B-simple and zero-B-simple ternary semihypergroups.

Research paper thumbnail of Ideals in Ternary Semigroups

Research paper thumbnail of SPECIAL TYPES OF TERNARY SEMIGROUPS

x T\U or T is a simple ternarysemigroup. Definition 2.1: Let T ≠ . Then T is called a ternarysemi... more x T\U or T is a simple ternarysemigroup. Definition 2.1: Let T ≠ . Then T is called a ternarysemigroup if being existence a mapping from T T T to T which maps (pqr) [ pqr] satisfying the condition :[(pqr) st] = [ p(qrs)t] = [pq(rst)] for all p, q, r, s, t T. Definition 2.2: An idempotent component e T is said to be left (or lateral or right) identity of the if eaa = a(or aea = a or aae = a) for all a T. Left (or lateral or right) identity may not be unique. But if e is an identity (i.e. e plays the role of left lateral and right identity simultaneously) then e is unique. V. Jyothi et al.