Results 231 to 240 of about 93,246 (266)
Some of the next articles are maybe not open access.
Canadian Journal of Mathematics, 1969
The following results (9, Exercise 26, p. 10; 1, Theorem 9.2; 8, Theorem III. 1.11) are known.(A) Let R be a ring with more than one element. Then R is a division ring ifand only if for every a ≠0 in R, there exists a unique b in R such that aba = a.(B) Let R be a near-ring which contains a right identity e ≠ 0.
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The following results (9, Exercise 26, p. 10; 1, Theorem 9.2; 8, Theorem III. 1.11) are known.(A) Let R be a ring with more than one element. Then R is a division ring ifand only if for every a ≠0 in R, there exists a unique b in R such that aba = a.(B) Let R be a near-ring which contains a right identity e ≠ 0.
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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.
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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.
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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.
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1992
A near-ring \(N\) is called \(N\)-simple if it has no proper \(N\)-subgroups; it is called \(A\)-simple if it has no \(N\)-subgroups \(H\) such that \(HN=\{0\}\). The radical \(J_ 2(N)\) of a zero-symmetric ring \(N\) with an invariant series whose factors are \(N\)-simple is nilpotent; moreover the factor \(N/J_ 2(N)\) is a direct sum of \(A\)-simple ...
BENINI, Anna, PELLEGRINI, Silvia
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A near-ring \(N\) is called \(N\)-simple if it has no proper \(N\)-subgroups; it is called \(A\)-simple if it has no \(N\)-subgroups \(H\) such that \(HN=\{0\}\). The radical \(J_ 2(N)\) of a zero-symmetric ring \(N\) with an invariant series whose factors are \(N\)-simple is nilpotent; moreover the factor \(N/J_ 2(N)\) is a direct sum of \(A\)-simple ...
BENINI, Anna, PELLEGRINI, Silvia
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Carbon nitride of five-membered rings with low optical bandgap for photoelectrochemical biosensing
CheM, 2021Songqin Liu, Yanfei Shen, Yuanjian Zhang
exaly