10 research outputs found
Overlaps in Field Generated Circular Planar Nearrings
We investigate circular planar nearrings constructed from finite fields as
well the complex number field using a multiplicative subgroup of order , and
characterize the overlaps of the basic graphs which arise in the associated
-designs
Moments of Gaussian Periods and Modified Fermat Curves
We use supercharacter theory to study moments of Gaussian periods. For
and fixed , we compute the fourth absolute moments for all but
finitely many primes . For fixed, we relate the fourth absolute moments
to the number of rational points on modified Fermat curves. For small , this
relation is in terms of a single curve. For larger , we provide both exact
formulas using families of modified Fermat curves and bounds via Hasse--Weil.Comment: 17 page
Smarandache near-rings
The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all results
Smarandache Near-rings
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 contained in A
which is embedded with a stronger structure S.
These types of structures occur in our everyday's life, that's why we study
them in this book.
Thus, as a particular case:
A Near-ring is a non-empty set N together with two binary operations '+' and
'.' such that (N, +) is a group (not necessarily abelian), (N, .) is a
semigroup. For all a, b, c belonging to N we have (a + b) . c = a . c + b . c
A Near-field is a non-empty set P together with two binary operations '+' and
'.' such that (P, +) is a group (not-necessarily abelian), {P\{0}, .) is a
group. For all a, b, c belonging to P we have (a + b) . c = a . c + b . c
A Smarandache Near-ring is a near-ring N which has a proper subset P
contained in N, where P is a near-field (with respect to the same binary
operations on N).Comment: 200 pages, 50 tables, 20 figure
BIALGEBRAIC STRUCTURES AND SMARANDACHE BIALGEBRAIC STRUCTURES
The study of bialgebraic structures started very recently. Till date there are no books solely dealing with bistructures. The study of bigroups was carried out in 1994-1996. Further research on bigroups and fuzzy bigroups was published in 1998. In the year 1999, bivector spaces was introduced. In 2001, concept of free De Morgan bisemigroups and bisemilattices was studied. It is said by Zoltan Esik that these bialgebraic structures like bigroupoids, bisemigroups, binear rings help in the construction of finite machines or finite automaton and semi automaton. The notion of non-associative bialgebraic structures was first introduced in the year 2002. The concept of bialgebraic structures which we define and study are slightly different from the bistructures using category theory of Girard's classical linear logic
1995-1999 Brock News
A compilation of the administration newspaper, Brock News, for the years 1995 through 1999. It had previously been titled Brock Campus News and preceding that, The Blue Badger