-pencils.
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McDonald, Judith J., Olesky, D.Dale, Schneider, Hans, Tsatsomeros, Michael J., van den Driessche, P. (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
WILFRIED IMRICH (1971)
Aequationes mathematicae
Norbert Köhler (1976)
Manuscripta mathematica
Peyman Nasehpour (2010)
Archivum Mathematicum
In this article, we prove that in content extentions minimal primes extend to minimal primes and discuss zero-divisors of a content algebra over a ring who has Property (A) or whose set of zero-divisors is a finite union of prime ideals. We also examine the preservation of diameter of zero-divisor graph under content extensions.
Vander Meulen, Kevin N., Van Tuyl, Adam (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Saharon Shelah (2005)
Fundamenta Mathematicae
Let Gₙ be the random graph on [n] = 1,...,n with the probability of i,j being an edge decaying as a power of the distance, specifically the probability being , where the constant α ∈ (0,1) is irrational. We analyze this theory using an appropriate weight function on a pair (A,B) of graphs and using an equivalence relation on B∖A. We then investigate the model theory of this theory, including a “finite compactness”. Lastly, as a consequence, we prove that the zero-one law (for first order logic)...
Saharon Shelah (2002)
Fundamenta Mathematicae
Let Gₙ be the random graph on [n] = 1,...,n with the possible edge i,j having probability for j ≠ i, i+1, i-1 with α ∈ (0,1) irrational. We prove that the zero-one law (for first order logic) holds..
Jin, Xian'an, Zhang, Fuji, Dong, Fengming, Tay, Eng Guan (2010)
The Electronic Journal of Combinatorics [electronic only]
Yair Caro (1993)
Czechoslovak Mathematical Journal
Caro, Y., Krasikov, I., Roditty, Y. (1994)
International Journal of Mathematics and Mathematical Sciences
Peter Heinrich, Günter Schaar (1979)
Archivum Mathematicum
Aois Scharf (1975)
Mathematische Annalen
H. Schumacher, R. Bodendiek (1981)
Journal für die reine und angewandte Mathematik
R. Lanckau (1989)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Bohdan Zelinka (1974)
Časopis pro pěstování matematiky
Rüdiger Schmidt (1979)
Monatshefte für Mathematik
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