Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Branched covers induced by semisymmetric quasigroup homomorphisms
Authors: K.M. Lewis
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Abstract
Finite semisymmetric quasigroups are in bijection with certain mappings between abstract polyhedra and directed graphs, termed alignments. We demonstrate the polyhedra of any given alignment can always be realized as compact, orientable surfaces. For any n to N, the class of quasigroups having associated surfaces with sum genus ≤ n is closed under subobjects and homomorphic images. Further, we demonstrate semisymmetric quasigroup homomorphisms may be translated into branched covers between their respective surfaces.Boston, Massachusetts
United States
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United States
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DOI
https://doi.org/10.56415/qrs.v31.06Fulltext
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Contents
- On the intersection ideal graph of semigroups
- On topological completely inverse AG**-groupoids
- A double construction of quadratic anticenter-symmetric Jacobi-Jordan algebras
- On the universality and isotopy-isomorphy of (r,s,t)-inverse quasigroups and loops with applications to cryptography
- Semigroups in which the radical of every interior ideal is a subsemigroup
- Branched covers induced by semisymmetric quasigroup homomorphisms
- General form of the automorphism group of bicyclic graphs
- Weakly quasi invo-clean rings
- On central digraphs constructed from left loops and loops
- Some types of interior filters in quasi-ordered semigroups
- Injective and projective poset acts
