syzygy

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syz·y·gy

(siz'i-jē),
1. The association of gregarine protozoans end-to-end or in lateral pairing (without sexual fusion).
2. Pairing of chromosomes in meiosis.
Synonym(s): syzygium
[G. syzygios, yoked, bound together, fr. syn, together, + zygon, a yoke]

syz·y·gy

(siz'i-jē)
1. Association of gregarine protozoans end-to-end or in lateral pairing (without sexual fusion).
2. Pairing of chromosomes in meiosis.
[G. syzygios, yoked, bound together, fr. syn, together, + zygon, a yoke]

syzygy

the aggregation in a mass of certain protozoans, especially when occurring before sexual reproduction.
References in periodicals archive ?
The set of syzygies T = {[G.sub.ij], [H.sub.i] [member of] Syz([f.sub.1], ..., [f.sub.s])/i > j} form a strong Grobner basis for Syz([f.sub.1], [f.sub.s]) with respect to the Shreyer's ordering induced by > and G.
In this paper, we use Frobenius splittings to study the higher syzygies of the irrelevant maximal ideal m of R.
Our main goal is to fix our notation for Schreyer's algorithm for computing higher syzygies, which is slightly different from what appears in the existing literature but is more convenient for our application.
With modern technology, we can predict the syzygies of the Sun, Earth, and Moon with such confidence that our current eclipse maps will still be reasonably accurate for centuries into the future.
Some specific paper topics include combinatorics and geometry of higher level Weyl modules, the Cosh-Gordon equation and quasi-Fuchsian group syzygies of highest weight orbits, and fermionic Fock space.
Mehta, Frobenius splitting of Schubert varieties and linear syzygies, this volume.
For students who have completed a standard first-year graduate course in abstract algebra, Hoffman, Jia, and Wang present some basic ideas in commutative algebra and algebraic geometry, and introduce some interesting topics of current research centered around the themes of Gr|bner bases, resultants, and syzygies. Characterizing this book as a supplement to the many textbooks introducing commutative algebra, they point readers toward possible future research directions.