Geodesic
Radical decompositions of semiheaps
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 2, pp. 191-208 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Semiheaps are ternary generalisations of involuted semigroups. The first kind of semiheaps studied were heaps, which correspond closely to groups. We apply the radical theory of varieties of idempotent algebras to varieties of idempotent semiheaps. The class of heaps is shown to be a radical class, as are two larger classes having no involuted semigroup counterparts. Radical decompositions of various classes of idempotent semiheaps are given. The results are applied to involuted I-semigroups, leading to a radical-theoretic interpretation of the largest idempotent-separating congruence.
Semiheaps are ternary generalisations of involuted semigroups. The first kind of semiheaps studied were heaps, which correspond closely to groups. We apply the radical theory of varieties of idempotent algebras to varieties of idempotent semiheaps. The class of heaps is shown to be a radical class, as are two larger classes having no involuted semigroup counterparts. Radical decompositions of various classes of idempotent semiheaps are given. The results are applied to involuted I-semigroups, leading to a radical-theoretic interpretation of the largest idempotent-separating congruence.
Classification : 20M11, 20N10
Keywords: radical theory of idempotent algebras; ternary operation; involuted semigroups; semiheaps; generalised heaps; heaps 
@article{CMUC_2009_50_2_a2,
     author = {Hawthorn, Ian and Stokes, Tim},
     title = {Radical decompositions of semiheaps},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {191--208},
     year = {2009},
     volume = {50},
     number = {2},
     mrnumber = {2537831},
     zbl = {1204.20087},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2009_50_2_a2/}
}
TY  - JOUR
AU  - Hawthorn, Ian
AU  - Stokes, Tim
TI  - Radical decompositions of semiheaps
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2009
SP  - 191
EP  - 208
VL  - 50
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMUC_2009_50_2_a2/
LA  - en
ID  - CMUC_2009_50_2_a2
ER  - 
%0 Journal Article
%A Hawthorn, Ian
%A Stokes, Tim
%T Radical decompositions of semiheaps
%J Commentationes Mathematicae Universitatis Carolinae
%D 2009
%P 191-208
%V 50
%N 2
%U http://geodesic.mathdoc.fr/item/CMUC_2009_50_2_a2/
%G en
%F CMUC_2009_50_2_a2
Hawthorn, Ian; Stokes, Tim. Radical decompositions of semiheaps. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 2, pp. 191-208. http://geodesic.mathdoc.fr/item/CMUC_2009_50_2_a2/