Smarandache Semirings, Semifields, and Semivector Spaces

By W. B. Vasantha Kandasamy

Book Id: WPLBN0002097644
Format Type: PDF eBook:
File Size: 0.7 MB
Reproduction Date: 9/14/2011

Title:	Smarandache Semirings, Semifields, and Semivector Spaces
Author:	W. B. Vasantha Kandasamy
Volume:
Language:	English
Subject:	Non-Fiction, Education, Smarandache Collections
Collections:	Authors Community, Mathematics
Historic Publication Date:
Publisher:	American Research Press


Citation APA MLA Chicago B. Vasantha Kandasam, B. W. (n.d.). Smarandache Semirings, Semifields, and Semivector Spaces. Retrieved from https://www.self.gutenberg.org/

Excerpt
Smarandache notions, which can be undoubtedly characterized as interesting mathematics, has the capacity of being utilized to analyse, study and introduce, naturally, the concepts of several structures by means of extension or identification as a substructure. Several researchers around the world working on Smarandache notions have systematically carried out this study. This is the first book on the Smarandache algebraic structures that have two binary operations. Semirings are algebraic structures with two binary operations enjoying several properties and it is the most generalized structure — for all rings and fields are semirings. The study of this concept is very meagre except for a very few research papers. Now, when we study the Smarandache semirings (S-semiring), we make the richer structure of semifield to be contained in an S-semiring; and this S-semiring is of the first level. To have the second level of S-semirings, we need a still richer structure, viz. field to be a subset in a S-semiring. This is achieved by defining a new notion called the Smarandache mixed direct product. Likewise we also define the Smarandache semifields of level II. This study makes one relate, compare and contrasts weaker and stronger structures of the same set.

Related Titles Capitalistic Musings (by Sam Vaknin) Cyclopedia of Economics (by Sam Vaknin) Fixing Global Finance (by Kavaljit Singh) Research On Smarandache Problems in Numb... (by Zhang Wenpeg) Research On Smarandache Problems in Numb... (by Edited: Zhang Wenpeg) Smarandache Semigroups (by W. B. Vasantha Kandasamy) Algebra-Romanian (by Florentin Smarandache) Algebra-Russian (by Florentin Smarandache) Smarandache Sequences, Stereograms and S... (by Charles Ashbacher) Collection of Problems on Smarandache No... (by Charles Ashbacher) Pluckings from the Tree of Smarandache S... (by Charles Ashbacher) An Introduction To the Smarandache Funct... (by Charles Ashbacher)

Additional Books The Power of Our Words (by Liz Mcgrath) The Future of the Internet : And How to ... (by Jonathan Zittrain) Family and More : Enemies or Friends? (by Helena Harper) The Marketing of Ideas and Social Issues (by Seymour Fine) The Public Domain : Enclosing the Common... (by James Boyle) Breathe Smart : The Secret to Happiness,... (by Aaron Hoopes) French Natural Remedies & Recipes From B... (by Christiane Guise) The Giant Mushroom (by Janaki Sooriyarachchi) Secret of the Sands (by Aren, Rai and E., Tavius) Abuse, Trauma, And Torture, And Their Co... (by Sam Vaknin) The New Engineering (by Eugene F. Adiutori) Narcissistic and Psychopathic Leaders (by Sam Vaknin)
W. B. Vasantha Kandasamy Fuzzy and Neutrosophic Analysis of Women... (by W. B. Vasantha Kandasamy) Smarandache Semigroups (by W. B. Vasantha Kandasamy) Basic Neutrosophic Algebraic Structures ... (by W. B. Vasantha Kandasamy) Fuzzy Cognitive Maps and Neutrosophic Co... (by W. B. Vasantha Kandasamy) Analysis of Social Aspects of Migrant La... (by W. B. Vasantha Kandasamy) Fuzzy Relational Maps and Neutrosophic R... (by W. B. Vasantha Kandasamy) Fuzzy and Neutrosophic Analysis of Periy... (by W. B. Vasantha Kandasamy) Groupoids and Smarandache Groupoids (by W. B. Vasantha Kandasamy) Smarandache Semirings, Semifields, and S... (by W. B. Vasantha Kandasamy) Smarandache Loops (by W. B. Vasantha Kandasamy)
Non-Fiction, Education, Smarandache Collections The New Engineering (by Eugene F. Adiutori) An Improved Form For Natural Convection ... (by Eugene F. Adiutori) Data Recovery E-Book (by Easeus) Take Creditors and Collection Agents to ... (by Debtconsolidationcare. Com) The Marketing of Ideas and Social Issues (by Seymour Fine) Debt Conslolidation Sample Letters For F... (by Jason Holmes and Peter Samuels) Breathe Smart : The Secret to Happiness,... (by Aaron Hoopes) Stick Out Your Balance Sheet and Cough (by Gary Patterson) Capitalistic Musings (by Sam Vaknin) Cyclopedia of Economics (by Sam Vaknin)