Abelian

Word ABELIAN
Character 7
Hyphenation N/A
Pronunciations /əˈbi.li.ən/

Definitions and meanings of "Abelian"

What do we mean by abelian?

Having a commutative defining operation.

Synonyms and Antonyms for Abelian

  • Synonyms for abelian
  • Abelian synonyms not found!!!
  • Antonyms for abelian
  • Abelian antonyms not found!

The word "abelian" in example sentences

With one proviso, the models of this set of sentences are precisely the structures that mathematicians know as abelian groups. ❋ Hodges, Wilfrid (2009)

Abelian groups are named for the mathematician [[Niels Henrik Abel]]; even so, most modern authors leave the term "abelian" uncapitalized. ❋ Unknown (2008)

Niels Henrik Abel; even so, most modern authors leave the term "abelian" uncapitalized. complex numbers are abelian groups with the group operation being addition. ❋ Unknown (2008)

At 7, he could discuss Boolean algebra, abelian groups, and other advanced math concepts. ❋ Karen Quinn (2010)

The proof uses beautiful physical intuition about the dynamics of non-abelian gauge theories in two dimensions. ❋ Unknown (2008)

I can find no references to abelian grapes I know there's a pun involved, but even my former-math-major husband can't get it specific or "Because for that is what we are doing" that don't trace back to ML. ❋ Unknown (2010)

The abelian grape joke is by far the best mathematical pun ever not that the competition is terribly strong. ❋ Unknown (2010)

This way round it can't be done, since one can have two abelian groups with the same 0 and minus but different plus functions. ❋ Hodges, Wilfrid (2009)

Apart from the fact that it uses a formal first-order language, this is exactly the algebraists 'usual definition of the class of abelian groups; model theory formalises a kind of definition that is extremely common in mathematics. ❋ Hodges, Wilfrid (2009)

Now the defining axioms for abelian groups have three kinds of symbol (apart from punctuation). ❋ Hodges, Wilfrid (2009)

The proviso is that in an abelian group A, the domain should contain the interpretation of the symbol 0, and it should be closed under the interpretations of the symbols + and ❋ Hodges, Wilfrid (2009)

What is not clear to me is whether it is really necessary to study non abelian gauge theories to settle the case of QED. ❋ Sean (2007)

This has been done so far only for gauge group U (1); the non-abelian cases remain. ❋ Sean (2007)

The category AbGrp with objects abelian groups and morphisms group homomorphisms, i.e. (1, ×,?) homomorphisms ❋ Marquis, Jean-Pierre (2007)

AbGrp from a category of R-modules to the category of abelian groups, where R is a commutative ring with unit. ❋ Marquis, Jean-Pierre (2007)

One striking novelty with groups not encountered in everyday elementary algebra is that their multiplication need not be abelian: xy and yx can be different! ❋ Pratt, Vaughan (2007)

Cross Reference for Abelian

  • Abelian cross reference not found!

What does abelian mean?

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