On reductive and distributive algebras
Romanowska, Anna B.
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 617-629 / Harvested from Czech Digital Mathematics Library
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The paper investigates idempotent, reductive, and distributive groupoids, and more generally $\Omega$-algebras of any type including the structure of such groupoids as reducts. In particular, any such algebra can be built up from algebras with a left zero groupoid operation. It is also shown that any two varieties of left $k$-step reductive $\Omega$-algebras, and of right $n$-step reductive $\Omega$-algebras, are independent for any positive integers $k$ and $n$. This gives a structural description of algebras in the join of these two varieties.

Publié le : 1999-01-01
Classification:  03C05,  08A05,  08B05,  08C15 
@article{119118,
     author = {Anna B. Romanowska},
     title = {On reductive and distributive algebras},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {617-629},
     zbl = {1010.08002},
     mrnumber = {1756540},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119118}
}

Romanowska, Anna B. On reductive and distributive algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 617-629. http://gdmltest.u-ga.fr/item/119118/

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