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Some results that are true in classical groups are investigated in generalized groups and are shown to be either generally true in generalized groups or true in some special types of generalized… (More)

- Temitope Gbolahan Jaiyeola, Florentin Smarandache
- Algorithms
- 2018

This paper is the first study of the neutrosophic triplet loop (NTL) which was originally introduced by Floretin Smarandache. NTL originated from the neutrosophic triplet set X: a collection of… (More)

In this paper, Bol-Moufang types of a particular quasi neutrosophic triplet loop (BCI-algebra), chritened Fenyves BCI-algebras are introduced and studied. 60 Fenyves BCI-algebras are introduced and… (More)

In this study, a finite order C-loop and its autotopism are constructed. A parastrophe of a known C-loop and its isotope are also constructed. It is shown that the set of autotopisms that make a… (More)

A loop (Q,⋅) is called a FRUTE loop if it obeys the identity (x ⋅ xy)z = (y ⋅ zx)x. Interestingly, a FRUTE loop is a Moufang loop but not necessarily an extra loop or a group (and vice versa). In… (More)

Some varieties of groupoids and quasigroups generated by linear-bivariate polynomials $P(x,y)=a+bx+cy$ over the ring $\mathbb{Z}_n$ are studied. Necessary and sufficient conditions for such groupoids… (More)

A new condition called ${\cal T}$ condition is introduced for the first time and used to study a pair of isotopic loops. Under this condition, a loop in the pair is a WIPL if and only if the other… (More)

AbstractIn this study, among the few identities that have been established for universal Osborn loops, two of them (of degrees 7 and 5) are recognized and recommended for cryptography in a similar… (More)

The present study further strengthens the use of the Keedwell CIPQ against attack on a system by the use of the Smarandache Keedwell CIPQ for cryptography in a similar spirit in which the cross… (More)

Abstract In this study, among the few identities that have been established for left universal Osborn loops, three of them(of degrees 5, 7 and 8) are recognized and recommended for cryptography in a… (More)