commutative algebra oor Grieks
commutative algebra
en
Any algebra in which multiplication is commutative.
Vertalings in die woordeboek Engels - Grieks
Αντιμεταθετική άλγεβρα
en
branch of algebra that studies commutative rings
αντιμεταθετική άλγεβρα
Geskatte vertalings
Vertoon algoritmies gegenereerde vertalings
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The notion of a spectrum is the common basis of commutative algebra and algebraic geometry.
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Many other notions of commutative algebra are counterparts of geometrical notions occurring in algebraic geometry.
Οδός χορήγησηςWikiMatrix WikiMatrix
In commutative algebra, one major focus of study is divisibility among polynomials.
Το μόνο που χρειαζόταν να ξέρεις ήταν ότι άγγιζε το εμπόρευμαWikiMatrix WikiMatrix
In the same period began the algebraization of the algebraic geometry through commutative algebra.
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To this day, Krull's principal ideal theorem is widely considered the single most important foundational theorem in commutative algebra.
Είπε ότι θα με έφερνε σε επαφή με το προϊόν που έψαχναWikiMatrix WikiMatrix
The study of limit groups and introduction of the language and machinery of non-commutative algebraic geometry gained prominence.
' Εχεις πολύ ανεπτυγμένο θώρακαWikiMatrix WikiMatrix
For example, Nikolai Durov has introduced commutative algebraic monads as a generalization of local objects in a generalized algebraic geometry.
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These results paved the way for the introduction of commutative algebra into algebraic geometry, an idea which would revolutionize the latter subject.
' Ελα εδώ! πουτάνας γιεWikiMatrix WikiMatrix
She also worked closely with Wolfgang Krull, who greatly advanced commutative algebra with his Hauptidealsatz and his dimension theory for commutative rings.
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Modern algebraic geometry is based on more abstract techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry.
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For example, Hilbert's Nullstellensatz is a theorem which is fundamental for algebraic geometry, and is stated and proved in terms of commutative algebra.
Ακόμα τους αφήνετε ξερούς στη Γούλφραμ και ΧαρτWikiMatrix WikiMatrix
Though it was already incipient in Kronecker's work, the modern approach to commutative algebra using module theory is usually credited to Krull and Noether.
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The relationship between commutative von Neumann algebras and measure spaces is analogous to that between commutative C*-algebras and locally compact Hausdorff spaces.
Θα μείνω με τον ΧέρμπενWikiMatrix WikiMatrix
Commutative algebra (in the form of polynomial rings and their quotients, used in the definition of algebraic varieties) has always been a part of algebraic geometry.
Πιστέψτε με, σ ' αυτό το νησί δεν υπάρχει προστασία!WikiMatrix WikiMatrix
Sometimes both meanings exist for the same qualifier, as in the sentence: Commutative algebra is the study of commutative rings, which are commutative algebras over the integers.
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Before her paper, most results in commutative algebra were restricted to special examples of commutative rings, such as polynomial rings over fields or rings of algebraic integers.
H παγκοσμιοποίηση των αγορών και η κατασκευή νέων εγκαταστάσεων παραγωγής στις περιοχές ανάπτυξης - πράγμα που, ως γνωστόν, συχνά κριτικάρεται εδώ, αλλά είναι αναγκαίο για την επιβίωση των επιχειρήσεων - είχε σαν αποτέλεσμα να μειωθεί η απασχόληση στη χημική βιομηχανία, κατά τα τελευταία χρόνια κατά 25 % και να φθάσει σήμερα στους 1, 6 εκατ. απασχολούμενους.WikiMatrix WikiMatrix
List of commutative algebra topics Glossary of commutative algebra Combinatorial commutative algebra Gröbner basis Homological algebra Atiyah and Macdonald, 1969, Chapter 1 Dummit, D. S.; Foote, R. (2004).
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B. L. van der Waerden, Oscar Zariski and André Weil developed a foundation for algebraic geometry based on contemporary commutative algebra, including valuation theory and the theory of ideals.
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Because these three fields (algebraic geometry, algebraic number theory and commutative algebra) are so intimately connected it is usually difficult and meaningless to decide which field a particular result belongs to.
Κυκλοφορούν φήμες ότι ήθελα να σκοτωθεί ο ΤρόσκιWikiMatrix WikiMatrix
In that setting one can use birational geometry, techniques from number theory, Galois theory and commutative algebra, and close analogues of the methods of algebraic topology, all in an integrated way.
Γεια σου, γειτοναWikiMatrix WikiMatrix
Helmut Hasse dedicated an article to her in the Mathematische Annalen, wherein he confirmed her suspicion that some aspects of noncommutative algebra are simpler than those of commutative algebra, by proving a noncommutative reciprocity law.
Αλλά ο Βαντίμ ήθελε τη δουλειά στο Χονγκ ΚονγκWikiMatrix WikiMatrix
In November of the same year, Noether delivered a plenary address (großer Vortrag) on "Hyper-complex systems in their relations to commutative algebra and to number theory" at the International Congress of Mathematicians in Zürich.
Η μεικτή επιτροπή συνέρχεται, όταν είναι αναγκαίο, κατόπιν αιτήσεως ενός από τα συμβαλλόμενα μέρηWikiMatrix WikiMatrix
The prominent results in this direction are Hilbert's basis theorem and Hilbert's Nullstellensatz, which are the basis of the connexion between algebraic geometry and commutative algebra, and Macaulay's multivariate resultant, which is the basis of elimination theory.
Ναι, το καταλαβαίνω αυτό, και είναι σπουδαίο πράγμαWikiMatrix WikiMatrix
The main figure responsible for the birth of commutative algebra as a mature subject was Wolfgang Krull, who introduced the fundamental notions of localization and completion of a ring, as well as that of regular local rings.
Θα ήθελα να συγχαρώ την Επιτροπή για την προσπάθειά της να δημιουργήσει κάτι θετικό από μια ουσιαστικά κάκιστη πρόταση: η Επιτροπή προσπαθεί να θέσει σε ισχύ τους κανονισμούς και επιμένει στην εφαρμογή τους· αποκλείει τα μέτρα στήριξης της αγοράς.WikiMatrix WikiMatrix
Prime ideals, which generalize prime elements in the sense that the principal ideal generated by a prime element is a prime ideal, are an important tool and object of study in commutative algebra, algebraic number theory and algebraic geometry.
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