Results 271 to 280 of about 105,360 (308)
Some of the next articles are maybe not open access.
Planar Near-Rings, Sandwich Near-Rings and Near-Rings with Right Identity
2005We show that every near-ring containing a multiplicative right identity can be described as a centralizer near-ring with sandwich multiplication. Using this result we characterize planar near-rings and near-rings solving the equation xa=c in terms of such centralizer near-rings with sandwich multiplication.
openaire +1 more source
1987
The principal theorem states that a finite non-constant near-ring N is geometric if and only if it is strongly monogenic. This provides the basis for a well-defined representation of the group space on the group \(\{Z\to aZ+b| \quad a,b\in N,\quad a\neq 0\}\) acting on the underlying set of N.
openaire +4 more sources
The principal theorem states that a finite non-constant near-ring N is geometric if and only if it is strongly monogenic. This provides the basis for a well-defined representation of the group space on the group \(\{Z\to aZ+b| \quad a,b\in N,\quad a\neq 0\}\) acting on the underlying set of N.
openaire +4 more sources
NEW KINDS OF NEAR-RINGS FROM OLD NEAR RINGS
JP Journal of Algebra, Number Theory and Applications, 2018Summary: In this paper, we construct that a new kind of near-ring, that is, \((e, t)\)-near-ring \((R, +,\ast)\) with given addition in \(R\) and new multiplication \(\ast\) which is expressed in terms of the original multiplication and addition by defining \(a\ast b\) to be a polynomial in \(a\) and \(b\), from a given near-ring \((R, +, \cdot ...
openaire +2 more sources
Embedding of a Near-Ring into a Near-Ring with Identity
1987It is well known, that an arbitrary near-ring N may be embedded into a near-ring N with identity. Details and references are to be found, e.g., in [3; § 1, section c]. Also, it is very well known, that any ring A is an ideal of a ring A* with identity [2; p. 11].
openaire +1 more source
Mathematical Journal of Okayama University, 1990
Let \(N\) denote a zero-symmetric left near-ring, \(A\) a nonzero ideal of \(N\), and \(d\) a derivation on \(N\). The author proves several theorems on additive or multiplicative commutativity of \(N\), extending results of the reviewer and \textit{G. Mason} [Near-rings and near-fields, Proc. Conf., Tübingen, F.R.G. 1985, North-Holland Math. Stud. 137,
openaire +3 more sources
Let \(N\) denote a zero-symmetric left near-ring, \(A\) a nonzero ideal of \(N\), and \(d\) a derivation on \(N\). The author proves several theorems on additive or multiplicative commutativity of \(N\), extending results of the reviewer and \textit{G. Mason} [Near-rings and near-fields, Proc. Conf., Tübingen, F.R.G. 1985, North-Holland Math. Stud. 137,
openaire +3 more sources
Near-rings whose laminated near-rings are Boolean
九州大学教養部数学雑誌, 1987In [Proc. Edinb. Math. Soc., II. Ser. 23, 97-102 (1980; Zbl 0415.16028)] \textit{K. D. Magill, jun.} introduced the concept of a laminated near-ring. Let N be an arbitrary near-ring. Each element a in N yields a new near- ring \(N_ a\) whose additive group coincides with that of N and whose multiplication * is defined by \(x*y=xay\) for any two ...
openaire +2 more sources
Near-rings that reduce to rings
Bulletin of the Australian Mathematical Society, 1977It is shown that a near-ring is a ring if it is generated by a group of automorphisms of its additive group that contains all inner automorphisms.
openaire +2 more sources
2007
This volume consists of seven papers related in various matters to the research work of Kostia Beidar, a distinguished ring theorist and professor of National Ching Kung University (NCKU). Written by leading experts in these areas, the papers also emphasize important applications to other fields of mathematics.
openaire +1 more source
This volume consists of seven papers related in various matters to the research work of Kostia Beidar, a distinguished ring theorist and professor of National Ching Kung University (NCKU). Written by leading experts in these areas, the papers also emphasize important applications to other fields of mathematics.
openaire +1 more source