Abstract. The set of all solutions of functional equation F1(F2(z;x);F3(y; z)) = F4(F5(x; y);x) on quasigroup operations of an arbitrary fixed set are found. The result implies W. Dudek’s theorem [1], which presents the operation in a quasigroup satisfying the identity xy · x = zx · yz. Mathematics subject classification: 20N15, 20N05
summary:In Kepka T., Kinyon M.K., Phillips J.D., {\it The structure of F-quasigroups\/}, {\tt math.G...
<p>Quasigroups with two identities (of types Τ<sub>1</sub> and Τ<sub>2</sub>) from Belousov-Bennett ...
summary:The paper deals with quasigroup identities under isotopies. The terminology is taken from [2...
summary:We are investigating quasigroup functional equation classification up to parastrophic equiva...
summary:According to S. Krstić, there are only four quadratic varieties which are closed under isoto...
summary:According to S. Krstić, there are only four quadratic varieties which are closed under isoto...
summary:According to S. Krstić, there are only four quadratic varieties which are closed under isoto...
summary:In Kepka T., Kinyon M.K., Phillips J.D., {\it The structure of F-quasigroups\/}, {\tt math.G...
summary:We are investigating quasigroup functional equation classification up to parastrophic equiva...
summary:We are investigating quasigroup functional equation classification up to parastrophic equiva...
summary:The paper deals with quasigroup identities under isotopies. The terminology is taken from [2...
summary:In the present paper we construct the accompanying identity $\hat{I}$ of a given quasigroup ...
We characterize the solutions of the equation D(G(x, y), G(u, v)) = G(D(x, u), T (y, v)), (1) where...
Abstract. We consider a class of functional equations with one operational symbol which is assumed t...
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...
<p>Quasigroups with two identities (of types Τ<sub>1</sub> and Τ<sub>2</sub>) from Belousov-Bennett ...
summary:The paper deals with quasigroup identities under isotopies. The terminology is taken from [2...
summary:We are investigating quasigroup functional equation classification up to parastrophic equiva...
summary:According to S. Krstić, there are only four quadratic varieties which are closed under isoto...
summary:According to S. Krstić, there are only four quadratic varieties which are closed under isoto...
summary:According to S. Krstić, there are only four quadratic varieties which are closed under isoto...
summary:In Kepka T., Kinyon M.K., Phillips J.D., {\it The structure of F-quasigroups\/}, {\tt math.G...
summary:We are investigating quasigroup functional equation classification up to parastrophic equiva...
summary:We are investigating quasigroup functional equation classification up to parastrophic equiva...
summary:The paper deals with quasigroup identities under isotopies. The terminology is taken from [2...
summary:In the present paper we construct the accompanying identity $\hat{I}$ of a given quasigroup ...
We characterize the solutions of the equation D(G(x, y), G(u, v)) = G(D(x, u), T (y, v)), (1) where...
Abstract. We consider a class of functional equations with one operational symbol which is assumed t...
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...
<p>Quasigroups with two identities (of types Τ<sub>1</sub> and Τ<sub>2</sub>) from Belousov-Bennett ...
summary:The paper deals with quasigroup identities under isotopies. The terminology is taken from [2...