Next Article in Journal
Utilization of the Brinkman Penalization to Represent Geometries in a High-Order Discontinuous Galerkin Scheme on Octree Meshes
Next Article in Special Issue
Some Results on (Generalized) Fuzzy Multi-Hv-Ideals of Hv-Rings
Previous Article in Journal
Monte Carlo Study of Rubber Elasticity on the Basis of Finsler Geometry Modeling
Previous Article in Special Issue
Series of Semihypergroups of Time-Varying Artificial Neurons and Related Hyperstructures

Results on Functions on Dedekind Multisets

Department of Mathematics and Physics, University of Defence Brno, Kounicova 65, 66210 Brno, Czech Republic
Department of Mathematics, Faculty of Science, University of Ibadan, Ibadan 200284, Oyo State, Nigeria
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2019, 11(9), 1125;
Received: 16 July 2019 / Revised: 27 August 2019 / Accepted: 2 September 2019 / Published: 4 September 2019
Many real-life problems are well represented only by sets which allow repetition(s), such as the multiset. Although not limited to the following, such cases may arise in a database query, chemical structures and computer programming. The set of roots of a polynomial, say f ( x ) , has been found to correspond to a multiset, say F. If f ( x ) and g ( x ) are polynomials whose sets of roots respectively correspond to the multisets F ( x ) and G ( x ) , the set of roots of their product, f ( x ) g ( x ) , corresponds to the multiset F G , which is the sum of multisets F and G. In this paper, some properties of the algebraic sum of multisets ⊎ and some results on selection are established. Also, the count function of the image of any function on Dedekind multisets is defined and some of its properties are established. Some applications of these multisets are also given. View Full-Text
Keywords: multisets; functions on multiset; selection operation; submultiset multisets; functions on multiset; selection operation; submultiset
MDPI and ACS Style

Hošková-Mayerová, Š.; Onasanya, B.O. Results on Functions on Dedekind Multisets. Symmetry 2019, 11, 1125.

AMA Style

Hošková-Mayerová Š, Onasanya BO. Results on Functions on Dedekind Multisets. Symmetry. 2019; 11(9):1125.

Chicago/Turabian Style

Hošková-Mayerová, Šárka, and Babatunde O. Onasanya. 2019. "Results on Functions on Dedekind Multisets" Symmetry 11, no. 9: 1125.

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Back to TopTop