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ON THE COEFFICIENT RING IN A SEMIGROUP RING
Mathematics of the USSR-Izvestiya, 1976In this paper we study the concept of the invariance of a ring relative to a commutative semigroup. Invariance is proved for certain Prufer rings and affine algebras relative to semigroups of a special class.Bibliography: 11 titles.
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Science, 2011
Chemistry The abstract prospect of using a circle to derive a square has intrigued scholars of geometry for centuries. Segawa et al. have now used a square to derive a circle. The arena in this case was chemistry, rather than mathematics, and the task at hand was to assemble a molecular ring composed in turn of 12 benzene rings, linked to one another ...
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Chemistry The abstract prospect of using a circle to derive a square has intrigued scholars of geometry for centuries. Segawa et al. have now used a square to derive a circle. The arena in this case was chemistry, rather than mathematics, and the task at hand was to assemble a molecular ring composed in turn of 12 benzene rings, linked to one another ...
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On the Ring of Quotients of a Boolean Ring
Canadian Mathematical Bulletin, 1959Two important mathematical constructions are: the construction of the rational s from the integers and the construction of the reals from the rationals. The first process can be carried out for any ring, producing its maximal ring of quotients [4, 5]. The second process can be carried out for any partially ordered set producing its Dedekind-MacNeille ...
Brainerd, B., Lambek, J.
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COUNTABLE RINGS AS ENDOMORPHISM RINGS
The Quarterly Journal of Mathematics, 1988Let \(\sum \leq \prod\) be the direct sum and product of countably many copies of the integers, let \(\sum \leq D\leq \prod\) such that D/\(\sum\) is the divisible part of \(\prod /\sum\), and let \(e_ n=(\delta_{in})_{i\in {\mathbb{N}}}\in \prod\) be the generalized n-th unit vector.
Dugas, M., Irwin, J., Khabbaz, S.
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