Petrich, M. The maximal semilattice decomposition of a semigroup. (English) Zbl 0124.25801 Math. Z. 85, 68-82 (1964). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 44 Documents Keywords:group theory PDF BibTeX XML Cite \textit{M. Petrich}, Math. Z. 85, 68--82 (1964; Zbl 0124.25801) Full Text: DOI EuDML OpenURL References: [1] Clifford, A. H.: Semigroups admitting relative inverses. Annals of Math.42, 1037-1049 (1941). · Zbl 0063.00920 [2] ?: Bands of semigroups. Proc. Amer. Math. Soc.5, 499-504 (1954). · Zbl 0055.25001 [3] ?: Review of [20]. Math. Reviews17, 584 (1956). · Zbl 0070.19601 [4] ?, andG. B. Preston: The algebraic theory of semigroups, Vol. I, Math. Surveys No. 7, Amer. Math. Soc. Providence, R.I., 1961. · Zbl 0111.03403 [5] Comfort, W. W.: The isolated points in the dual of a commutative semi-group. Proc. Amer. Math. Soc.11, 227-233 (1960). · Zbl 0093.24503 [6] Croisot, R.: Demi-groupes inversifs et demi-groupes réunions de demi-groupes simples. Ann. Sci. Ecole Norm. Sup. (3)70, 361-379 (1953). · Zbl 0053.00902 [7] Green, J. A.: On the structure of semigroups. Annals of Math.54, 163-172 (1951). · Zbl 0043.25601 [8] Hewitt, Edwin, andH. S. Zuckerman: Thel 1-algebra of a commutative semigroup. Trans. Amer. Math. Soc.83, 70-97 (1956). · Zbl 0072.12701 [9] Iséki, K.: Contribution to the theory of semigroups I. Proc. Japan Acad.32, 174-175 (1956). · Zbl 0072.01101 [10] MacKenzie, R. E.: Commutative semigroups. Duke Math. J.21, 471-477 (1954). · Zbl 0056.01901 [11] McLean, David: Idempotent semigroups. Amer. Math. Monthly61, 110-113 (1954). · Zbl 0055.01404 [12] Munn, W. D.: Pseudo-inverses in semigroups. Proc. Cambridge Phil. Soc.57, 247-250 (1961). · Zbl 0228.20057 [13] Schwarz, ?t.: Contribution to the theory of periodic semigroups. Czechoslovak Math. J.3 (78), 7-21 (1953) [Russian, English summary]. · Zbl 0053.34803 [14] ?: The theory of characters of commutative semigroups. Czechoslovak Math. J.4, (79), 219-247 (1954) [Russian, English summary]. · Zbl 0059.02001 [15] Tamura, T., andN. Kimura: On decompositions of a commutative semigroup. K?dai Math. Sem. Rep.4, 109-112 (1954). · Zbl 0058.01503 [16] Thierrin, G.: Quelques propriétés des sous-groupoïdes consistants d’un demi-groupe abélien D.C.R. Acad. Sci., Paris236, 1837-1839 (1953). · Zbl 0051.01203 [17] ?: Sur quelques propriétés de certaines classes de demi-groupes. C.R. Acad. Sci., Paris239, 1335-1337 (1954). · Zbl 0056.01902 [18] ?: Sur quelques décompositions des groupoïdes. C.R. Acad. Sci., Paris242, 596-598 (1956). · Zbl 0070.01801 [19] ?: Sur la théorie des demi-groupes. Comment. Math. Helv.30, 211-223 (1956). · Zbl 0070.01802 [20] Yamada, M.: On the greatest semilattice decomposition of a semigroup. K?dai Math. Sem. Rep.7, 59-62 (1955). · Zbl 0065.25203 [21] ?: A remark on periodic semigroups. Sci. Rep. Shimane Univ.9, 1-5 (1959). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.