- ISBN: 1931233632
- Author: W. B. Vasantha Kandasamy
- Genre: No category
- Language: English
- Publisher: American Research Press (December 1, 2002)
- Pages: 127 pages
- ePUB size: 1560 kb
- FB2 size 1221 kb
- Formats azw doc lit lrf

W. B. Vasantha Kandasamy

W. Vasantha Kandasamy. 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 which is embedded with a stronger structure S. By proper subset one understands a set included in A, different from the empty set, from the unit element if any, and from A. These types of structures occur. in our every day’s life, that’s why we study them in this book. As an example: A non-empty set L is said to form a loop, if on L is defined a binary operation called product, denoted by '·', such that: 1) For all.

by. W. SMARANDACHE LOOPS, Quasigroups and Loops.

A Smarandache Loop (or S-loop) is a loop L such that a proper subset M of L is a subgroup (with respect to the same induced operation). Pages: 127, 128. ISBN 10: 1931233632. ISBN 13: 9781931233637.

The books can be bought online at. They can be downloaded from of the publishers. Smarandache algebra book series. 7. Non-associative rings. 3. Semirings, semifields & semivector spaces. 8. Bialgebraic structures.

Smarandache Loops, by . Vasantha Kandasamy - Free download as PDF File . df), Text File . xt) or read online for free. 5 This book introduces over 75 Smarandache concepts on loops, and most of these concepts are illustrated by examples

Smarandache Loops, by . 5 This book introduces over 75 Smarandache concepts on loops, and most of these concepts are illustrated by examples. In fact several of the Smarandache loops have classes of loops which satisfy the Smarandache notions. This book is structured into five chapters.

Infinite Study, 2002. WB Vasantha Kandasamy, F Smarandache. Zip Publishing, Ohio, 2012. WB Kandasamy, FS Vasantha, Ilanthenral Kandasamy. Smarandache fuzzy algebra. Fuzzy interval matrices, neutrosophic interval matrices and their applications. WBV Kandasamy, F Smarandache. Infinite Study, 2006. Infinite Study, 2015. Neutrosophic graphs: a new dimension to graph theory. V Kandasamy, K Ilanthenral, F Smarandache.

W. Vasantha Kandasamy; Florentin Smarandache; K. Ilanthenral. 666 Kb. Analysis of Social Aspects of Migrant Labourers Living with HIV AIDS Using Fuzzy Theory and Neutrosophic Cognitive Maps: With specific reference to Rural Tamilnadu in India. Vasantha Kandasamy, Florentin Smarandache. Категория: Математика, Нечеткая логика и приложения.

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B. Vasantha Kandasamy - Smarandache Loops. Vasantha Kandasamy, Florentin Smarandache - Introduction to N-Adaptive Fuzzy Models to Analyze Public Opinion on Aids. Читать pdf. Vasantha Kandasamy - Smarandache Near-Rings. Vasantha Kandasamy - Smarandache Rings. Vasantha Kandasamy, Florentin Smarandache - Super linear algebra. Florentin Smarandache. In this book, we introduce the notion of Smarandache special definite algebraic structures. This book is a continuation of the book n-linear algebra of type I and its applications. We can also call them equivalently as Smarandache definite special algebraic structures. These new structures are defined as those strong algebraic structures which have in them a proper subset which is a weak algebraic structure.

By proper subset one understands a set included in A, different from the empty set, from the unit element if any, and from A.

These types of structures occur in our every days life, thats why we study them in this book.

As an example:

A non-empty set L is said to form a loop, if on L is defined a binary operation called product, denoted by '·', such that:

1) For all a, b in L we have a · b in L (closure property);

2) There exists an element e in L such that a·e = e·a = a for all a in L (e is the identity element of L);

3) For every ordered pair (a, b) in L x L there exists a unique pair (x, y) in L such that ax = b and ya = b.

Whence:

A Smarandache Loop (or S-loop) is a loop L such that a proper subset M of L is a subgroup (with respect to the same induced operation).

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