Generalized complex numbers over near-fields
S Veldsman - Quaestiones Mathematicae, 2019 - Taylor & Francis
The construction of the complex numbers over the reals has been generalized in many ways
leading, amongs others, to the 2-dimensional elliptical complex numbers (= ordinary …
leading, amongs others, to the 2-dimensional elliptical complex numbers (= ordinary …
Group invariant solutions for two dimensional solute transport under realistic water flows
RJ Moitsheki, P Broadbridge… - Quaestiones …, 2006 - Taylor & Francis
We consider a form of the solute transport equation in streamline coordinates. Symmetry
analysis of the equation for solute transport with realistic water flows, result in a number of …
analysis of the equation for solute transport with realistic water flows, result in a number of …
[PDF][PDF] Group seminearrings
WA Khana, W Arifb, A Taoutic - Group, 2022 - academia.edu
In this note, we introduce and discuss the notion of group seminearrings along with few of its
characteristics. Firstly, we provide the method of construction of group seminearrings. Then …
characteristics. Firstly, we provide the method of construction of group seminearrings. Then …
On group distributively generated near-rings
RL Fray - Journal of the Australian Mathematical Society, 1992 - cambridge.org
The group near-ring constructed from a right near-ring R and a group G is studied in the
special case where the near-ring is distributively generated. In particular, results concerning …
special case where the near-ring is distributively generated. In particular, results concerning …
[PDF][PDF] Homomorphic images of polynomial near-rings
S Veldsman - Contributions to Algebra and Geometry, 2009 - emis.icm.edu.pl
A polynomial near-ring can mean one of several things. Here a polynomial near-ring is a
near-ring of polynomials with the coefficients from a near-ring in the sense of van der Walt …
near-ring of polynomials with the coefficients from a near-ring in the sense of van der Walt …
Polynomial and Matrix Near-Rings.
S Veldsman - Arabian Journal for Science & Engineering …, 2011 - search.ebscohost.com
Polynomial and Matrix Near-Rings Page 1 Arab J Sci Eng (2011) 36:1039–1046 DOI
10.1007/s13369-011-0089-x RESEARCH ARTICLE - MATHEMATICS Stefan Veldsman …
10.1007/s13369-011-0089-x RESEARCH ARTICLE - MATHEMATICS Stefan Veldsman …
Prime ideals in group near-rings
NJ Groenewald, S Juglal, JH Meyer - Algebra Colloquium, 2008 - World Scientific
Prime Ideals in Group Near-rings Page 1 Algebra Colloquium c© 2008 AMSS CAS &
SUZHOU UNIV Algebra Colloquium 15 : 3 (2008) 501–510 Prime Ideals in Group Near-rings …
SUZHOU UNIV Algebra Colloquium 15 : 3 (2008) 501–510 Prime Ideals in Group Near-rings …
Two-sided ideals in group near-rings
JH Meyer - Journal of the Australian Mathematical Society, 2004 - cambridge.org
The two-sided ideals of group near-rings are characterized and studied. Various examples
are presented to illustrate the interplay between ideals in the base near-ring R and the …
are presented to illustrate the interplay between ideals in the base near-ring R and the …
[PDF][PDF] Prime near-ring modules and their links with the generalised group near-ring
S Juglal - 2008 - core.ac.uk
In view of the facts that the definition of a ring led to the definition of a near $ ring, the
definition of a ring module led to the definition of a near $ ring module, prime rings resulted …
definition of a ring module led to the definition of a near $ ring module, prime rings resulted …
The augmentation ideal in group near-rings
JDP Meldrum, JH Meyer - Monatshefte für Mathematik, 2009 - Springer
The definition of the group near-ring R [G] of the near-ring R over the group G as a near-ring
of mappings from R (G) to itself is due to Le Riche et al.(Arch Math 52: 132–139, 1989). In …
of mappings from R (G) to itself is due to Le Riche et al.(Arch Math 52: 132–139, 1989). In …