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dedekind domain वाक्य

"dedekind domain" हिंदी मेंdedekind domain in a sentence
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  • Rings were first formalized as a generalization of Dedekind domains that occur in number theory, and of polynomial rings and rings of invariants that occur in algebraic geometry and invariant theory.
  • This group is trivial if and only if " R " is a PID, so can be viewed as quantifying the obstruction to a general Dedekind domain being a PID.
  • In particular, Kodaira gave a " p "-adic integers ) and Dedekind domains ( e . g ., the ring of integers of a number field ).
  • Just as a Dedekind domain is locally a discrete valuation ring, a Pr�fer domain is locally a valuation ring, so that Pr�fer domains act as non-noetherian analogues of Dedekind domains.
  • Just as a Dedekind domain is locally a discrete valuation ring, a Pr�fer domain is locally a valuation ring, so that Pr�fer domains act as non-noetherian analogues of Dedekind domains.
  • By the 20th century, algebraists and number theorists had come to realize that the condition of being a PID is rather delicate, whereas the condition of being a Dedekind domain is quite robust.
  • They were introduced by for abelian varieties over the quotient field of a Dedekind domain " R " with perfect residue fields, and extended this construction to semiabelian varieties over all Dedekind domains.
  • They were introduced by for abelian varieties over the quotient field of a Dedekind domain " R " with perfect residue fields, and extended this construction to semiabelian varieties over all Dedekind domains.
  • The group property of existence of inverse elements follows easily from the fact that, in a Dedekind domain, every non-zero ideal ( except " R " ) is a product of prime ideals.
  • If " A " is a Dedekind domain whose quotient field is an algebraic number field ( a finite extension of the rationals ) then shows that SK 1 ( " A " ) vanishes.
  • अधिक वाक्य:   1  2  3
dedekind domain sentences in Hindi. What are the example sentences for dedekind domain? dedekind domain English meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.