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Generalized roughness of three dimensional ( ∈ , ∈ ∨ q )-fuzzy ideals in terms of set-valued homomorphism. [PDF]
Bashir S +5 more
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Correlation free large-scale probabilistic computing using a true-random chaotic oscillator p-bit. [PDF]
Lee W +5 more
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Computing high-degree polynomial gradients in memory. [PDF]
Bhattacharya T +8 more
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On weakly semiprime ideals in noncommutative ring
We extend the concept of weakly semiprime ideals, originally defined by A. Badawi for commutative rings, to the noncommutative setting. We define a proper ideal I of a noncommutative ring R to be weakly semiprime if for any a ∈ R, 0 ≠ aRa ⊆ I implies a ∈ I.
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Sets of lengths in maximal orders in central simple algebras.
Smertnig D.
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T-rough Semiprime Ideals on Commutative Rings
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Fuzzy ideals and semiprime fuzzy ideals in semigroups
Information Sciences, 2009The results of this paper concern \(\varphi\)-fuzzy ideals in a \(\varphi\)-fuzzy semigroup, where \(\varphi\) is either a pseudo-\(t\)-norm or a weak pseudo-\(t\)-norm. Let \((L,\leq)\) be a lattice with top element 1 and bottom element 0. A pseudo-\(t\)-norm is a function \(\varphi\colon L\times L\to L\) such that \(\forall x,y,z\in L\), (1) \(x\leq ...
Kazancı, O., Yamak, S.
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Ideal-Symmetric and Semiprime Rings
Communications in Algebra, 2013Lambek extended the usual commutative ideal theory to ideals in noncommutative rings, calling an ideal A of a ring R symmetric if rst ∈ A implies rts ∈ A for r, s, t ∈ R. R is usually called symmetric if 0 is a symmetric ideal. This naturally gives rise to extending the study of symmetric ring property to the lattice of ideals.
Victor Camillo, Tai Keun Kwak, Yang Lee
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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 \
Kumbhojkar, H. V., Bapat, M. S.
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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 \
Kumbhojkar, H. V., Bapat, M. S.
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