AbstractWe solve a problem of Belousov which has been open since 1967: to characterize the loop isotopes of F-quasigroups. We show that every F-quasigroup has a Moufang loop isotope which is a central product of its nucleus and Moufang center. We then use the loop to reveal the structure of the associated F-quasigroup
In this thesis I shall be exploring the normal and characteristic structure of quasigroups and loops...
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...
summary:In Kepka T., Kinyon M.K., Phillips J.D., {\it The structure of F-quasigroups\/}, {\tt math.G...
Three main results concerning the left F-quasigroups and their canonical loopuscular structures are ...
summary:In Kepka T., Kinyon M.K., Phillips J.D., {\it The structure of F-quasigroups\/}, {\tt math.G...
summary:In Kepka T., Kinyon M.K., Phillips J.D., {\it The structure of F-quasigroups\/}, {\tt math.G...
AbstractEach of the Moufang identities in a quasigroup implies that the quasigroup is a loop
A Smarandache quasigroup(loop) is shown to be universal if all its f, g-principal isotopes are Smara...
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...
Abstract A Smarandache quasigroup(loop) is shown to be universal if all its f, g-principal iso-topes...
summary:T. Kepka, M.K. Kinyon and J.D. Phillips: The structure of F-quasigroups, J. Algebra 317 (200...
summary:T. Kepka, M.K. Kinyon and J.D. Phillips: The structure of F-quasigroups, J. Algebra 317 (200...
summary:T. Kepka, M.K. Kinyon and J.D. Phillips: The structure of F-quasigroups, J. Algebra 317 (200...
In this thesis I shall be exploring the normal and characteristic structure of quasigroups and loops...
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...
summary:In Kepka T., Kinyon M.K., Phillips J.D., {\it The structure of F-quasigroups\/}, {\tt math.G...
Three main results concerning the left F-quasigroups and their canonical loopuscular structures are ...
summary:In Kepka T., Kinyon M.K., Phillips J.D., {\it The structure of F-quasigroups\/}, {\tt math.G...
summary:In Kepka T., Kinyon M.K., Phillips J.D., {\it The structure of F-quasigroups\/}, {\tt math.G...
AbstractEach of the Moufang identities in a quasigroup implies that the quasigroup is a loop
A Smarandache quasigroup(loop) is shown to be universal if all its f, g-principal isotopes are Smara...
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...
Abstract A Smarandache quasigroup(loop) is shown to be universal if all its f, g-principal iso-topes...
summary:T. Kepka, M.K. Kinyon and J.D. Phillips: The structure of F-quasigroups, J. Algebra 317 (200...
summary:T. Kepka, M.K. Kinyon and J.D. Phillips: The structure of F-quasigroups, J. Algebra 317 (200...
summary:T. Kepka, M.K. Kinyon and J.D. Phillips: The structure of F-quasigroups, J. Algebra 317 (200...
In this thesis I shall be exploring the normal and characteristic structure of quasigroups and loops...
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...
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