Previous |  Up |  Next

Article

Keywords:
radical theory of idempotent algebras; ternary operation; involuted semigroups; semiheaps; generalised heaps; heaps
Summary:

References:
[1] Baer R.: Zür Einfuhrung des Scharbegriffs. J. Reine Angew. Math. 160 (1929), 199--207.
[2] Divinsky N.: Rings and Radicals. Allen and Unwin, 1965. MR 0197489 | Zbl 0138.26303
[3] Gardner B.J.: Radical decompositions of idempotent algebras. J. Austral Math. Soc. (Series A) 36 (1984), 213--236. MR 0725747 | Zbl 0541.08001
[4] Hoehnke H.-J.: Radikale in allgemeinen Algebren. Math. Nachr. 32 (1966), 347--383. MR 0227077 | Zbl 0149.02003
[5] Hoehnke H.-J.: Einige neue Resultate über abstrakte Halbgruppen. Colloq. Math. 14 (1966), 329--349. MR 0185027 | Zbl 0196.29501
[6] Howie J.M.: The maximum idempotent separating congruence on an inverse semigroup. Proc. Edinburgh Math. Soc. 14 (1964/65), 71--79. MR 0163976
[7] Howie J.M.: Fundamentals of Semigroup Theory. Oxford University Press, Oxford, 1995. MR 1455373 | Zbl 0835.20077
[8] Márki L., Mlitz R., Wiegandt R.: A General Kurosh-Amitsur radical theory. Comm. Algebra 16 (1988), 249--305. MR 0929120
[9] Munn W.D.: Fundamental Inverse Semigroups. Quart. J. Math. Oxford Ser. (2) 17 (1966), 157--170. MR 0262402 | Zbl 0219.20047
[10] Prüfer H.: Theorie der Abelschen Gruppen. Math. Z. 20 (1924), 165--187. MR 1544670
[11] Stokes T.: Radical classes of algebras with B-action. Algebra Universalis 40 (1998), 73--85. MR 1643221 | Zbl 0935.08004
[12] Vagner V.V.: The theory of generalized heaps and generalized groups. (Russian), Mat. Sbornik N.S. 32 (1953), 545--632. MR 0059267
Partner of
EuDML logo