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The Levantine Megalithic Building Techniques: A Groundbreaking Method Applied to Menjez's Monuments (Akkar, Lebanon) from the 4th-3rd Millennium BCE. [PDF]
J Archaeol Method TheoryDefours Rivoira M +2 more
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Orderly mitosis shapes interphase genome architecture. [PDF]
ElifeGuin K +4 more
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Advanced lung organoids for respiratory system and pulmonary disease modeling. [PDF]
J Tissue EngJoo H, Min S, Cho SW.
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Armendariz rings and gaussian rings
Communications in Algebra, 1998We prove a number of results concerning Armendariz rings and Gaussian rings. Recall that a (commutative) ring R is (Gaussian) Armendariz if for two polynomials f,g∈R[X] (the ideal of R generated by the coefficients of f g is the product of the ideals generated by the coefficients of f and g) fg = 0 implies a i b j=0 for each coefficient a i of f and b ...
VÍCTOR Camillo, D D Anderson
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Communications in Algebra, 2006
We introduce weak Armendariz rings which are a generalization of semicommutative rings and Armendariz rings, and investigate their properties. Moreover, we prove that a ring R is weak Armendariz if and only if for any n, the n-by-n upper triangular matrix ring T n (R) is weak Armendariz.
Zhongkui Liu, Renyu Zhao
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We introduce weak Armendariz rings which are a generalization of semicommutative rings and Armendariz rings, and investigate their properties. Moreover, we prove that a ring R is weak Armendariz if and only if for any n, the n-by-n upper triangular matrix ring T n (R) is weak Armendariz.
Zhongkui Liu, Renyu Zhao
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$\mathcal {Z}$-Armendariz Rings and Modules
Vietnam Journal of Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Habib Sharif +2 more
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Communications in Algebra, 2003
Abstract For a ring endomorphism α, we introduce α-skew Armendariz rings which are a generalization of α-rigid rings and Armendariz rings, and investigate their properties. Moreover, we study on the relationship between the Baerness and p.p.-property of a ring R and these of the skew polynomial ring R[x; α] in case R is α-skew Armendariz.
Tai Keun Kwak, Chan Yong Hong
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Abstract For a ring endomorphism α, we introduce α-skew Armendariz rings which are a generalization of α-rigid rings and Armendariz rings, and investigate their properties. Moreover, we study on the relationship between the Baerness and p.p.-property of a ring R and these of the skew polynomial ring R[x; α] in case R is α-skew Armendariz.
Tai Keun Kwak, Chan Yong Hong
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Generalizations of reversible and Armendariz rings
International Journal of Algebra and Computation, 2016This paper concerns several ring theoretic properties related to matrices and polynomials. The basic properties of [Formula: see text]-reversible and power-Armendariz are studied. We provide a method by which one can always construct a power-Armendariz ring but neither symmetric nor Armendariz from given any symmetric ring. We investigate next various
Juncheol Han +4 more
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Extensions of Generalized Armendariz Rings
Algebra Colloquium, 2006A ring R is called Armendariz if whenever the product of any two polynomials in R[x] over R is zero, then so is the product of any pair of coefficients from the two polynomials. Such rings have been extensively studied in literature. For a ring endomorphism α, we introduce the notion of α-Armendariz rings by considering the polynomials in the skew ...
Hong, Chan Yong +2 more
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Algebra Colloquium, 2011
In this paper, we introduce and study weak quasi-Armendariz rings which unify the notions of weak Armendariz rings and quasi-Armendariz rings. It is shown that the weak quasi-Armendarizness is a Morita invariant property. For a semiprime ring R, it is shown that R[x]/〈xn〉 is weak quasi-Armendariz, where R[x] is the polynomial ring over R and 〈xn〉 is ...
Baser, Muhittin +3 more
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In this paper, we introduce and study weak quasi-Armendariz rings which unify the notions of weak Armendariz rings and quasi-Armendariz rings. It is shown that the weak quasi-Armendarizness is a Morita invariant property. For a semiprime ring R, it is shown that R[x]/〈xn〉 is weak quasi-Armendariz, where R[x] is the polynomial ring over R and 〈xn〉 is ...
Baser, Muhittin +3 more
openaire +1 more source