Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Monzó, R."'
Autor:
Monzo, R. A. R., Dudek, W. A.
Any pentagonal quasigroup is proved to have the product xy = R(x)+y-R(y) where (Q,+) is an Abelian group, R is its regular automorphism satisfying R^4-R^3+R^2-R+1 = 0 and 1 is the identity mapping. All abelian groups of order n<100 inducing pentagona
Externí odkaz:
http://arxiv.org/abs/1907.06635
Autor:
Dudek, W. A., Monzo, R. A. R.
We describe types of double magma associated with Ward quasigroups, double Ward quasigroups, their duals and the groups they generate. Ward quasigroup double magma and unipotent, right modular, left unital double magma are proved to be improper. Nece
Externí odkaz:
http://arxiv.org/abs/1905.05763
Autor:
Monzo, R. A. R.
The binary products of right, left or double division in semigroups that are semilattices of groups give interesting groupoid structures that are in one to one correspondence with semigroups that are semilattices of groups. This work is inspired by t
Externí odkaz:
http://arxiv.org/abs/1904.01409
Autor:
Monzo, R. A. R.
We prove that one-step idempotent right modular groupoids are quasigroups. The dimension of such quasigroups is defined and all such quasigroups of dimensions 2,3 and 4 are determined.
Comment: 16 pages and 11 Cayley tables
Comment: 16 pages and 11 Cayley tables
Externí odkaz:
http://arxiv.org/abs/1606.07893
Autor:
Monzo, R. A. R.
We prove that quadratical quasigroups form a variety Q of right and left simple groupoids. New examples of quadratical quasigroups of orders 25 and 29 are given. The fine structure of quadratical quasigroups and inter-relationships between their prop
Externí odkaz:
http://arxiv.org/abs/1603.08502
Autor:
Monzo, R. A. R.
We investigate ternary products of groupoids and prove that there is a one-to-one correspondence between the collection of right modular groupoids with a left identity element l and laterally commutative, l-bi-unital semiheaps. This result is applied
Externí odkaz:
http://arxiv.org/abs/1510.07955
Autor:
Monzo, R. A. R.
We give several characterisations of groupoids determined by involutive automorphisms on semilattices of groups.
Comment: The paper is 17 pages. It has been submitted to NSJOM and this revised version of a previous arXiv submission has now been
Comment: The paper is 17 pages. It has been submitted to NSJOM and this revised version of a previous arXiv submission has now been
Externí odkaz:
http://arxiv.org/abs/1503.07403
Autor:
Monzo, R. A. R.
We determine the structure of completely inverse AG**-groupoids modulo semilattices of abelian groups and their involutive, idempotent-fixed automorphisms.
Comment: This paper consists of 8 pages. It has recently been submitted to Semigroup Foru
Comment: This paper consists of 8 pages. It has recently been submitted to Semigroup Foru
Externí odkaz:
http://arxiv.org/abs/1502.06516
Autor:
Monzo, R. A. R.
We determine a lattice of inclusion classes of semigroups consisting of unions of varieties of generalised inflations of rectangular bands.
Comment: There are 14 pages and one diagram. The same submission was previously removed due to watermarks
Comment: There are 14 pages and one diagram. The same submission was previously removed due to watermarks
Externí odkaz:
http://arxiv.org/abs/1411.4860
Autor:
Monzo, R. A. R.
We prove that a semigroup S is a semilattice of rectangular bands and groups of order two if and only if it satisfies the identity x = xxx and for all x,y in S, xyx is in the set {xyyx,yyxxy}.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/1301.0828