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Utilization of absorbance subtraction and ratio difference green spectrophotometric methods for the quantification of alfuzosin hydrochloride and tadalafil in their binary mixture. [PDF]
Alqahtani A, Alqahtani T, Ramzy S.
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Zero-divisor super-$$\lambda$$ graphs
São Paulo Journal of Mathematical Sciences, 2022A maximally edge-connected graph with all minimum edge-cuts trivial is called super-\(\lambda\). In this paper, using the finite direct product of finite fields, the ring of the residues, and the trivial extension of rings by a module, the authors show that there are various classes of rings whose zero-divisor graphs are super-\(\lambda\) and then ...
Driss Bennis +2 more
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Ricerche di Matematica, 2011
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Haouaoui, Amor, Benhissi, Ali
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Haouaoui, Amor, Benhissi, Ali
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Zero Divisors of Atomic Functions
The Annals of Mathematics, 1992The authors develop a theory of zero divisors or zero currents for sections of a vector bundle under an orientation condition. An \(R^ n\)- valued function is said to be atomic if the function pulls back the basic forms \(dy^ I/| y|^ p\) on \(R^ n\) to locally Lebesgue integrable forms on the domain manifold in the range \(p=| I| \leq n-1\).
Harvey, F. Reese, Semmes, Stephen W.
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The rings where zero-divisor polynomials have zero-divisor coefficients
Rocky Mountain Journal of Mathematics, 2021The aim of this paper is to introduce and study a new class of rings which is called \(\mathrm{ZPZC}\) rings. It is shown that every right McCoy ring is a \(\mathrm{ZPZC}\) ring, and an example is given to show that a \(\mathrm{ZPZC}\) ring need not be right McCoy.
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Zero-divisors and zero-divisor graphs of power series rings
Ricerche di Matematica, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haouaoui, Amor, Benhissi, Ali
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NORMAL PAIRS WITH ZERO-DIVISORS
Journal of Algebra and Its Applications, 2011Results of Davis on normal pairs (R, T) of domains are generalized to (commutative) rings with nontrivial zero-divisors, particularly complemented rings. For instance, if T is a ring extension of an almost quasilocal complemented ring R, then (R, T) is a normal pair if and only if there is a prime ideal P of R such that T = R[P], R/P is a valuation ...
Dobbs, David E., Shapiro, Jay
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Generalized Zero-divisor Graphs
2021The zero-divisor graph of a commutative ring has been generalized by several authors. The two most notable generalizations are the ideal-based zero-divisor graph and annihilating-ideal graph of commutative rings. We first discuss the ideal-based zero-divisor graph of a commutative ring.
David F. Anderson +3 more
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Identifying exact pairs of zero-divisors from zero-divisor graphs of commutative rings
2022Summary: We provide criteria for identifying exact pairs of zero-divisors from zero-divisor graphs of commutative rings, and extend these criteria to compressed zero-divisor graphs. Finally, our results are translated as constructions for exact zero-divisor subgraphs.
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