Geodesic
Linear identities in graph algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 1, pp. 11-24

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We find the basis of all linear identities which are true in the variety of entropic graph algebras. We apply it to describe the lattice of all subvarieties of power entropic graph algebras.
We find the basis of all linear identities which are true in the variety of entropic graph algebras. We apply it to describe the lattice of all subvarieties of power entropic graph algebras.
Classification : 03C05, 03C13, 08A05, 08A40, 08A62, 08A99, 08B15, 08C10, 17D99
Keywords: graph algebra; linear identity; entropic algebra; equational basis; lattice of subvarieties; power algebra of subsets 
Pilitowska, Agata. Linear identities in graph algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 1, pp. 11-24. http://geodesic.mathdoc.fr/item/CMUC_2009_50_1_a1/
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     title = {Linear identities in graph algebras},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {11--24},
     year = {2009},
     volume = {50},
     number = {1},
     mrnumber = {2562800},
     zbl = {1212.08004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2009_50_1_a1/}
}
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