On Smarandache Semigroups

On Smarandache Semigroups
Author: Boris Tanana
Publisher: Infinite Study
Total Pages: 4
Release:
Genre: Mathematics
ISBN:

In this article we present some basis definitions about semigrous, groups and Smarandache semigroups. And the end we give the characterization of Smarandache semigroups and Smarandache semigroups where any Smarandache subset is a subsemigroup.of Smarandache semigroups and Smarandache semigroups where any Smarandache subset is a subsemigroup.

Smarandache Semigroups

Smarandache Semigroups
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 95
Release: 2002-12-01
Genre: Mathematics
ISBN: 1931233594

Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B in A which is embedded with a stronger structure S.These types of structures occur in our everyday life, that?s why we study them in this book.Thus, as a particular case:A Smarandache Semigroup is a semigroup A which has a proper subset B in A that is a group (with respect to the same binary operation on A).

Smarandache Soft Semigroups and their Properties

Smarandache Soft Semigroups and their Properties
Author: Mumtaz Ali
Publisher: Infinite Study
Total Pages: 9
Release:
Genre:
ISBN:

In this paper, the notions of smarandache soft semigroups (SS-semigroups) introduced for the first time. An SS-semigroup ( , ) FA is basically a parameterized collection of subsemigroups which has atlest a proper soft subgroup of ( , ) FA. Some new type of SS-semigroup is also presented here such as smarandache weak commutative semigroup, smarandache weak cyclic semigroup, smarandache hyper subsemigroup etc. Some of their related properties and other notions have been discussed with sufficient amount of examples.

Semigroups as Graphs

Semigroups as Graphs
Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
Total Pages: 155
Release:
Genre:
ISBN: 1599731916

A View on Intuitionistic SmarandacheTopological Semigroup Structure Spaces

A View on Intuitionistic SmarandacheTopological Semigroup Structure Spaces
Author: C. Bavithra
Publisher: Infinite Study
Total Pages: 16
Release:
Genre:
ISBN:

The purpose of this paper is to introduce the concepts of intuitionistic Smarandache topological semigroups, intuitionistic Smarandache topological semigroup structure spaces, intuitionistic SG exteriors and intuitionistic SG semi exteriors. Characterizations and properties of intuitionistic SG-exterior space is established.

Fuzzy and Neutrosophic Sets in Semigroups

Fuzzy and Neutrosophic Sets in Semigroups
Author: Young Bae Jun
Publisher: Infinite Study
Total Pages: 96
Release: 2018-01-01
Genre: Mathematics
ISBN: 1599735482

The topics discussed in this book are Int-soft semigroup, Int-soft left (right) ideal, Int-soft (generalized) bi-ideal, Int-soft quasi-ideal, Int-soft interior ideal, Int-soft left (right) duo semigroup, starshaped (∈, ∈∨ qk)-fuzzy set, quasi-starshaped (∈, ∈∨ qk)-fuzzy set, semidetached mapping, semidetached semigroup, (∈, ∈ ∨qk)-fuzzy subsemi-group, (qk, ∈ ∨qk)-fuzzy subsemigroup, (∈, ∈ ∨ qk)-fuzzy subsemigroup, (qk, ∈ ∨ qk)-fuzzy subsemigroup, (∈ ∨ qk, ∈ ∨ qk)-fuzzy subsemigroup, (∈, ∈∨ qkδ)-fuzzy subsemigroup, ∈∨ qkδ -level subsemigroup/bi-ideal, (∈, ∈∨ qkδ )-fuzzy (generalized) bi-ideal, δ-lower (δ-upper) approximation of fuzzy set, δ-lower (δ-upper) rough fuzzy subsemigroup, δ-rough fuzzy subsemigroup, Neutrosophic N -structure, neutrosophic N -subsemigroup, ε-neutrosophic N -subsemigroup, and neutrosophic N -product.

Smarandache Special Elements in Multiset Semigroups

Smarandache Special Elements in Multiset Semigroups
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 244
Release:
Genre: Mathematics
ISBN: 1599735644

Authors in this book study the notion of Smarandache element in multiset semigroups. It is important to keep on record that we define four operations on multisets viz. +, X, union and intersection in a free way. Thus all sets finite or infinite order contribute to infinite order multisets and the semigroup under any of these operations is of infinite order.

On DM-Compact Smarandache Topological Semigroups

On DM-Compact Smarandache Topological Semigroups
Author: Dheia Gaze Salih Al-Khafajy
Publisher: Infinite Study
Total Pages: 9
Release:
Genre: Mathematics
ISBN:

In this present paper, we have introduced some new definitions on DM-compact Smarandache topological semigroup and DM-L compact Smarandache topological semigroup for the compactness in topological spaces and groups.

Smarandache Notions, Vol. 14

Smarandache Notions, Vol. 14
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 418
Release: 2004-01-01
Genre: Number theory
ISBN: 1931233799

Papers concerning any of the Smarandache type functions, sequences, numbers, algorithms, inferior/superior f-parts, magic squares, palindromes, functional iterations, semantic paradoxes, Non-Euclidean geometries, manifolds, conjectures, open problems, algebraic structures, neutrosophy, neutrosophic logic/set/probability, hypothesis that there is no speed barrier in the universe, quantum paradoxes, etc. have been selected for this volume. Contributors are from Australia, China, England, Germany, India, Ireland, Israel, Italy, Japan, Malaysia, Morocco, Portugal, Romania, Spain, USA. Most of the papers are in English, a few of them are in Spanish, Portuguese, or German.

Smarandache Neutrosophic Algebraic Structures

Smarandache Neutrosophic Algebraic Structures
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 203
Release: 2006-01-01
Genre: Mathematics
ISBN: 1931233160

Smarandache algebraic structures that inter-relates two distinct algebraic structures and analyzes them relatively can be considered a paradigm shift in the study of algebraic structures. For instance, the algebraic structure Smarandache semigroup simultaneously involves both group and semigroup.Recently, Neutrosophic Algebraic Structures were introduced. This book ventures to define Smarandache Neutrosophic Algebraic Structures.Here, Smarandache neutrosophic structures of groups, semigroups, loops and groupoids and their N-ary structures are introduced and analyzed. There is a lot of scope for interested researchers to develop these concepts.