Non Associative Algebraic Structures on MOD Planes is popular PDF and ePub book, written by W. B. Vasantha Kandasamy in 2015, it is a fantastic choice for those who relish reading online the Algebras, Linear genre. Let's immerse ourselves in this engaging Algebras, Linear book by exploring the summary and details provided below. Remember, Non Associative Algebraic Structures on MOD Planes can be Read Online from any device for your convenience.
Non Associative Algebraic Structures on MOD Planes Book PDF Summary
In this book authors for the first time construct non-associative algebraic structures on the MOD planes. Using MOD planes we can construct infinite number of groupoids for a fixed m and all these MOD groupoids are of infinite cardinality. Special identities satisfied by these MOD groupoids build using the six types of MOD planes are studied. Further, the new concept of special pseudo zero of these groupoids are defined, described and developed. Also conditions for these MOD groupoids to have special elements like idempotent, special pseudo zero divisors and special pseudo nilpotent are obtained. Further non-associative MOD rings are constructed using MOD groupoids and commutative rings with unit. That is the MOD groupoid rings gives infinitely many non-associative ring. These rings are analysed for substructures and special elements. This study is new and innovative and several open problems are suggested.
Detail Book of Non Associative Algebraic Structures on MOD Planes PDF
- Author : W. B. Vasantha Kandasamy
- Release : 29 September 2024
- Publisher : Infinite Study
- ISBN : 9781599733685
- Genre : Algebras, Linear
- Total Page : 212 pages
- Language : English
- PDF File Size : 16,7 Mb
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