ɪn mˌæθɪmˈæɾɪks, ɐ ɹˈaɪt lˈeɪbnɪz ˈældʒᵻbɹə, nˈeɪmd ˈæftɚ ɡˈɑːtfɹid wˈɪlhɛlm lˈeɪbnɪz, sˈʌmtaɪmz kˈɔːld ɐ lˈɑːdeɪ ˈældʒᵻbɹə, ˈæftɚ dʒˈiːnlˈuːi lˈɑːdeɪ, ɪz ɐ mˈɑːdʒuːl ˈɛl ˌoʊvɚɹ ɐ kˈɑːmjuːɾətˌɪv ɹˈɪŋ ˈɑːɹ wɪð ɐ baɪlˈɪnɪɹ pɹˈɑːdʌkt , sˈæɾɪsfˌaɪɪŋ ðə lˈeɪbnɪz aɪdˈɛntᵻɾi
In mathematics, a (right) Leibniz algebra, named after Gottfried Wilhelm Leibniz, sometimes called a Loday algebra, after Jean-Louis Loday, is a module L over a commutative ring  R with a bilinear product [ _ , _ ] satisfying the Leibniz identity