Open Access. Powered by Scholars. Published by Universities.®

Number Theory Commons

Open Access. Powered by Scholars. Published by Universities.®

University of New Mexico

Interval groups

2011

Articles 1 - 1 of 1

Full-Text Articles in Number Theory

Interval Algebraic Bistructures, Florentin Smarandache, W.B. Vasantha Kandasamy Jan 2011

Interval Algebraic Bistructures, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

Authors in this book construct interval bistructures using only interval groups, interval loops, interval semigroups and interval groupoids. Several results enjoyed by these interval bistructures are described. By this method, we obtain interval bistructures which are associative or non associative or quasi associative. The term quasi is used mainly in the interval bistructure B = B1 ∪ B2 (or in n-interval structure) if one of B1 (or B2) enjoys an algebraic property and the other does not enjoy that property (one section of interval structure satisfies an algebraic property and the remaining section does not satisfy that particular property). The …