Results 61 to 70 of about 136 (119)

Algebraic Properties of Quasigroup Under Q-neutrosophic Soft Set [PDF]

Neutrosophic Sets and Systems
The novel concept called neutrosophic set was launched to take care of indeterminate factors in real-life data. The hybrid model of neutrosophic set and soft set has been widely studied in different areas of algebra, especially in associative structures ...
Benard Osoba, Oyebo Tunde Yakub, Abdulkareem Abdulafeez Olalekan   +2 more
doaj   +1 more source

Oriented Steiner quasigroups [PDF]

Journal of Algebra and Its Applications, 2014
We introduce the notion of an oriented Steiner quasigroup and develop elements of a relevant algebraic apparatus. The approach is based upon (modified) Schreier-type f-extensions for quasigroups (cf. earlier works [10, 11, 14]) achieved through oriented Steiner triple systems.
openaire   +2 more sources

Pentagonal quasigroups [PDF]

Quasigroups and related systems, 2011
In this paper the concept of pentagonal quasigroup is introduced as {; ; ; IM}; ; ; -quasigroup satisfying the additional property of pentagonality. Some basic identities which are valid in a general pentagonal quasigroup are proved. Four different models for pentagonal quasigroups and their mutual relations are studied.
openaire   +4 more sources

Hamiltonian selfdistributive quasigroups

Journal of Algebra, 2005
The problem of the existence of non-medial distributive hamiltonian quasigroups is solved. Translating this problem first to commutative Moufang loops with operators, then to ternary algebras and, finally, to cocyclic modules over\linebreak $\Bbb Z[x,x^{-1},(1-x)^{-1}]$, it is shown that every non-medial distributive hamiltonian quasigroup has at least
Herbera, Dolors, Kepka, Tomáš, Němec, Petr   +2 more
openaire   +2 more sources

T-quasigroups with Stein 2-nd and 3-rd identity

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
In this paper we prolong research of T-quasigroups with Stein 2-rd (xy ⋅ x = y ⋅ xy) and Stein 3-rd (xy ⋅ yx = y) identities [9].
Victor Shcherbacov, Irina Radilova, Petr Radilov   +2 more
doaj   +1 more source

ARO-quasigroups

Quasigroups and related systems, 2010
In this paper the concept of ARO-quasigroup is introduced and some identities which are valid in a general ARO-quasigroup are proved. The "geometric" concepts of midpoint, parallelogram and affine-regular octagon is introduced in a general ARO-quasigroup.
Volenec, V., Kolar-Begovic, Z., Kolar-Super, R.   +2 more
openaire   +3 more sources

Quasigroups. II [PDF]

Transactions of the American Mathematical Society, 1944
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

An encryption algorithm using a generalization of the Markovski algorithm and T-quasigroups

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
Here is a more detailed description of the algorithm proposed in [1]. This algorithm simultaneously uses two cryptographic procedures: encryption using a generalization of the Markovski algorithm [2] and encryption using a system of orthogonal ...
Nadezhda Malyutina, Victor Shcherbacov
doaj   +1 more source

Automorphisms of Some Magmas of Order $k+k^2$

Известия Иркутского государственного университета: Серия "Математика", 2018
This paper is devoted to the study of automorphisms of finite magmas and to the representation of the symmetric permutation group $ S_k $ and some of its subgroups by automorphism groups of finite magmas.
A.V. Litavrin
doaj   +1 more source

Un paseo por los anillos de bucles

Revista Integración, 2012
La teoría de anillos de bucles no es solamente una generalización de los anillos de grupos: es una teoría en sí misma, con origen y aún en movimiento. El concepto de anillo de bucles surge en 1944 en los trabajos de R.H.
Carmen Rosa Giraldo Vergara
doaj