Results 31 to 40 of about 1,089,172 (249)
Minimal prime ideals of skew Hurwitz series ring [PDF]
, 2021 Let R be a ring with an endomorphism α. In this paper we obtain necessary and sufficient conditions on R and α such that the skew Hurwitz series ring (HR, α) is a 2-primal ring. In particular, it is proved that, under suitable conditions, (
Paykan, Kamal
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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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On the coinvariants of modular representations of cyclic groups of prime order [PDF]
, 2006 We consider the ring of coinvariants for modular representations of cyclic groups of prime order. For all cases for which explicit generators for the ring of invariants are known, we give a reduced Gröbner basis for the Hilbert ideal and the ...
Shank, R. James, Sezer, Müfit
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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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Projective prime ideals and localisation in pi-rings [PDF]
, 2001 The results here generalise [2, Proposition 4.3] and [9, Theorem 5.11]. We shall prove the following. THEOREM A. Let R be a Noetherian PI-ring. Let P be a non-idempotent prime ideal of R such that PR is projective. Then P is left localisable and RP is
Chatters, A. W. +5 more
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Primes in products of rings [PDF]
Pacific Journal of Mathematics, 1971 This paper is an elementary note which indicates how Harrison's primes sit in certain kinds of rings. It is proved that primes behave nicely under finite direct products. Also it is shown that any nil ideal is a subset of every prime. This gives information about the primes of artinian rings.
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A NOTE ON β-DERIVATIONS IN PRIME NEAR RING [PDF]
Matrix Science Mathematic, 2021 In this paper, we prove commutativity of prime near rings by using the notion of β-derivations. Let M be a prime near ring. If there exist p,q ϵ M and two sided nonzero β-derivation f on M, where β:M→M is a homomorphism, satisfying the following ...
Abdul Rauf Khan +2 more
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Semiderivations of Prime Rings [PDF]
Proceedings of the American Mathematical Society, 1990 A semiderivation of a ring R R is an additive mapping
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A Generalization of the Prime Radical of Rings
Natural and Applied Sciences Journal, 2023 Let $R$ be a ring, $I$ be an ideal of $R$, and $\sqrt{I}$ be a prime radical of $I$. This study generalizes the prime radical of $\sqrt{I}$ where it denotes by $\sqrt[n+1]{I}$, for $n\in \mathbb{Z}^{+}$. This generalization is called $n$-prime radical of ideal $I$.
Didem KARALARLIOĞLU CAMCI +3 more
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Smarandache Completely Semi Prime Ideal With Respect To An Element Of A Near Ring
Journal of Kufa for Mathematics and Computer, 2014 In this paper ,we introduce the notions of smarandache completely semi prime ideal (S.C.S.P.I),and smarandache completely semi prime ideal with respect to an element x of a near ring N denoted by (x-S.C.S.P.I) , and smarandache ...
Hussien Hadi Abass +1 more
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