Results 21 to 30 of about 115,699 (314)
On semiderivations of *-prime rings
Boletim da Sociedade Paranaense de Matemática, 2014 Let R be a ∗-prime ring with involution ∗ and center Z(R). An additive mapping F:R→R is called a semiderivation if there exists a function g:R→R such that (i) F(xy)=F(x)g(y)+xF(y)=F(x)y+g(x)F(y) and (ii) F(g(x))=g(F(x)) hold for all x,y∈R.
Golbasiand, Oznur, Agirtici, Onur
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Quotient rings satisfying some identities
Cubo, 2023 This paper investigates the commutativity of the quotient ring \(\mathcal{R}/P\), where \(\mathcal{R}\) is an associative ring with a prime ideal \(P\), and the possibility of forms of derivations satisfying certain algebraic identities on \(\mathcal{R}\)
Mohammadi El Hamdaoui, Abdelkarim Boua
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On the primitivity of prime rings
Journal of Algebra, 1979 In this paper we obtain some conditions which force prime rings to be primitive. Our main theorems are converses to well-known results on the primitivity of certain subrings of primitive rings. Applications are given to the case of primitive domains, and a tensor prod&t theorem is proved which answers a question of Herstein on the primitivity of E[x, ,.
Charles Lanski +2 more
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On the left strongly prime modules and their radicals
Lietuvos Matematikos Rinkinys, 2010 We give the new results on the theory of the one-sided (left) strongly prime modules and their strongly prime radicals. Particularly, the conceptually new and short proof of the A.L.Rosenberg’s theorem about one-sided strongly prime radical of the ring ...
Algirdas Kaučikas
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Prime Graph over Cartesian Product over Rings and Its Complement
JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 Graph theory is a branch of algebra that is growing rapidly both in concept and application studies. This graph application can be used in chemistry, transportation, cryptographic problems, coding theory, design communication network, etc.
Farah Maulidya Fatimah +2 more
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On Noetherian prime rings [PDF]
Transactions of the American Mathematical Society, 1965 Classical left quotient rings are defined symmetrically. R is right (resp. left) quotient-simple in case R has a classical right (resp. left) quotient ring S which is isomorphic to a complete ring Dn of n X n matrices over a (not necessarily commutative) field D. R is quotient-simple if R is both left and right quotient-simple.
Carl Faith, Yuzo Utumi
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On derivations of prime and semi-prime Gamma rings
Boletim da Sociedade Paranaense de Matemática, 2019 The concept of $\Gamma$-ring is a generalization of ring. Two important classes of $\Gamma$-rings are prime and semi-prime $\Gamma$-rings. In this paper, we consider the concept of derivations on prime and semi-prime $\Gamma$-rings and we study some of ...
Leili Kamali Ardakani +2 more
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Prime rings with PI rings of constants [PDF]
Israel Journal of Mathematics, 1996 20 pages, LaTex2e, to appear in Israel Journal of Mathematics, volume 96, part B, 1996 (357-377)
J. Keller +2 more
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On a problem of commutativity of automorphims
International Journal of Mathematics and Mathematical Sciences, 1998 In this note we provide a partial answer to a problem proposed by M. Brehr. We prove that if α,β are automorphisms of a commutative prime ring of characteristic not equal to 2 satisfying the equation α+α−1=β+β−1, then either α=β or α=β−1.
M. Anwar Chaudhry, A. B. Thaheem
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Approximaitly Prime Submodules and Some Related Concepts
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 In this research note approximately prime submodules is defined as a new generalization of prime submodules of unitary modules over a commutative ring with identity.
Ali Sh. Ajeel, Haibat K. Mohammad Ali
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