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A study of derivable mappings of semiprime rings
, 2018 Gurninder S. Sandhu, Deepak Kumara
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Chains of Semiprime and Prime Ideals in Leavitt Path Algebras [PDF]
, 2017 Gene Abrams +3 more
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On distribution of semiprime numbers
Russian Mathematics, 2014A semiprime is a natural number which is the product of two (possibly equal) prime numbers. Let y be a natural number and g(y) be the probability for a number y to be semiprime. In this paper we derive an asymptotic formula to count g(y) for large y and evaluate its correctness for different y.
Ishmukhametov S., Sharifullina F.
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Fuzzy Sets and Systems, 1993
The authors define the concept of a semiprime fuzzy ideal of a ring \(R\) in a different manner than has been done previously. Their definition is equivalent to previous definitions and makes use of the grade of membership of an element of \(R\). The authors then determine some basic properties of semiprime fuzzy ideals. Let \(f\) be a homomorphism of \
M. S. Bapat, H. V. Kumbhojkar
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The authors define the concept of a semiprime fuzzy ideal of a ring \(R\) in a different manner than has been done previously. Their definition is equivalent to previous definitions and makes use of the grade of membership of an element of \(R\). The authors then determine some basic properties of semiprime fuzzy ideals. Let \(f\) be a homomorphism of \
M. S. Bapat, H. V. Kumbhojkar
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Israel Journal of Mathematics, 1975
LetG be a finite group of automorphisms acting on a ringR, andRG={fixed points ofG}. We show that under certain conditions onR andG, whenRGis semiprime Goldie then so isR. In particular, ifa∈R is invertible andan∈Z(R), thenRG,withG generated by the inner automorphism determined bya, is the centralizer ofa—CR(a).
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LetG be a finite group of automorphisms acting on a ringR, andRG={fixed points ofG}. We show that under certain conditions onR andG, whenRGis semiprime Goldie then so isR. In particular, ifa∈R is invertible andan∈Z(R), thenRG,withG generated by the inner automorphism determined bya, is the centralizer ofa—CR(a).
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Mathematical Notes, 1995
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Communications in Algebra, 2009
In this work, we study semiprime and radical submodules of modules. We know that every radical submodule is semiprime, and we investigate when the converse is true.
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In this work, we study semiprime and radical submodules of modules. We know that every radical submodule is semiprime, and we investigate when the converse is true.
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On the Adjoint Group of Semiprime Rings
Communications in Algebra, 2006An associative ring R, not necessarily with a unity, is called semiprime if it has no nonzero nilpotent ideal. It is proved that in the adjoint group of a semiprime ring R every soluble-by-finite normal subgroup centralizes the Jacobson radical of R. In particular, if R is a semiprime ring with unity, then the same result holds for the multiplicative ...
CATINO, Francesco +2 more
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THE SOURCE OF SEMIPRIMENESS OF RINGS
2018Let R be an associative ring. We define a subset S-R of R as S-R = {a is an element of R vertical bar aRa = (0)} and call it the source of semiprimeness of R. We first examine some basic properties of the subset S-R in any ring R, and then define the notions such as R being a vertical bar S-R vertical bar-reduced ring, a vertical bar S-R vertical bar ...
Demir C., Aydin N., Camci D.K.
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