Add to ORKGThe connection between gyrogroups and some types of left distributive quasigroups is established by means of isotopy considerations. Any quasigroup of reflection is isotopic to some gyrocommutative gyrogroup and any left distributive quasigroup satisfying some specific condition is isotopic to some nongyrocommutative gyrogroup. The geometry of reductive homogeneous spaces and the semidirect product for homogeneous loops are used to produce local exact decompositions of groups and local gyrocommutative gyrogroups
summary:Some properties of quasigroups with the left loop property are investigated. In loops we poi...
The first paper in this series initiated a study of Sylow theory for quasigroups and Latin squares b...
The first paper in this series initiated a study of Sylow theory for quasigroups and Latin squares b...
Three main results concerning the left F-quasigroups and their canonical loopuscular structures are ...
The paper under review is a survey on quasigroup methods in the theory of homogeneous spaces essenti...
The isotopic invariance or universality of types and varieties of quasigroups and loops described by...
The isotopic invariance or universality of types and varieties of quasigroups and loops described by...
summary:In Kepka T., Kinyon M.K., Phillips J.D., {\it The structure of F-quasigroups\/}, {\tt math.G...
The structure of a quasigroup with a finite distributive grid of subquasigroups has been cleared up ...
We introduce the construction of the semidirect product of a loop and its associate (or quasigroup)-...
We introduce the construction of the semidirect product of a loop and its associate (or quasigroup)-...
The concept of Smarandache isotopy is introduced and its study is explored for Smarandache: groupoid...
The concept of Smarandache isotopy is introduced and its study is explored for Smarandache: groupoid...
Quasigroups, satisfying to an identity of left distributivity are considered in the paper aiming at ...
summary:A pointed quasigroup is said to be semicentral if it is principally isotopic to a group via ...
summary:Some properties of quasigroups with the left loop property are investigated. In loops we poi...
The first paper in this series initiated a study of Sylow theory for quasigroups and Latin squares b...
The first paper in this series initiated a study of Sylow theory for quasigroups and Latin squares b...
Three main results concerning the left F-quasigroups and their canonical loopuscular structures are ...
The paper under review is a survey on quasigroup methods in the theory of homogeneous spaces essenti...
The isotopic invariance or universality of types and varieties of quasigroups and loops described by...
The isotopic invariance or universality of types and varieties of quasigroups and loops described by...
summary:In Kepka T., Kinyon M.K., Phillips J.D., {\it The structure of F-quasigroups\/}, {\tt math.G...
The structure of a quasigroup with a finite distributive grid of subquasigroups has been cleared up ...
We introduce the construction of the semidirect product of a loop and its associate (or quasigroup)-...
We introduce the construction of the semidirect product of a loop and its associate (or quasigroup)-...
The concept of Smarandache isotopy is introduced and its study is explored for Smarandache: groupoid...
The concept of Smarandache isotopy is introduced and its study is explored for Smarandache: groupoid...
Quasigroups, satisfying to an identity of left distributivity are considered in the paper aiming at ...
summary:A pointed quasigroup is said to be semicentral if it is principally isotopic to a group via ...
summary:Some properties of quasigroups with the left loop property are investigated. In loops we poi...
The first paper in this series initiated a study of Sylow theory for quasigroups and Latin squares b...
The first paper in this series initiated a study of Sylow theory for quasigroups and Latin squares b...