Document Zbl 0429.20060

Endomorphism monoids of free acts and O-wreath products of monoids. I. Annihilator properties. (English) Zbl 0429.20060

Semigroup Forum 19, 177-187 (1980).

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MSC:

20M30	Representation of semigroups; actions of semigroups on sets
20M15	Mappings of semigroups
20M10	General structure theory for semigroups

Keywords:

left act over a monoid; congruence; O-wreath product of monoids; free right act; left Baer monoid; right Rickart monoid; endomorphism monoid

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References:

[1]	Arbib, M. A. (Ed.),Algebraic theory of machines, languages, and semigroups, Academic Press, New York and London 1968. · Zbl 0181.01501
[2]	Eilenberg, S.,Automata, languages, and machines, Vol. B, Academic Press, New York and London 1976. · Zbl 0359.94067
[3]	Hoehnke, H. J.,Über antiautomorphe und involutorische primitive Halbgruppen, Czech. Mat. J., 15 (90) (1965), 50–63. · Zbl 0136.26503
[4]	Hunter, R. P.,Some results on wreath products of semigroups, Bull. Soc. Math. Belg., 18 (1966), 3–16. · Zbl 0136.26505
[5]	Knauer, U.,Anote on Baer monoids, Semigroup Forum, 13(1976), 143–148. · Zbl 0354.20042 · doi:10.1007/BF02194931
[6]	Knauer, U., A. V. Mikhalev,Endomorphism monoids of acts over monoids, Semigroup Forum, 6(1973), 50–58. · Zbl 0258.20059 · doi:10.1007/BF02389107
[7]	Košelev, J. G.,Spletenija i uravnenija v polugruppach, Semigroup Forum, 11(1975), 1–13 (in Russian). · doi:10.1007/BF02195250
[8]	McKnight, Jr. J. D., E. Sadowski,The kernel of the wreath product of semigroups, Semigroup Forum, 4(1972), 232–236. · Zbl 0274.20083 · doi:10.1007/BF02570790
[9]	Neumann, B. H.,Embedding theorems for semigroups, J. London Math. Soc., 35(1960), 184–192. · Zbl 0090.01701 · doi:10.1112/jlms/s1-35.2.184
[10]	Neumann, H.,Varieties of groups, Springer, Berlin, Heidelberg, 1967. · Zbl 0149.26704
[11]	Petrich, M.,The translational hull of a completely O-simple semigroup, Glasgow Math. J., 9 (1968), 1–11. · Zbl 0179.04101 · doi:10.1017/S0017089500000239
[12]	–,Representations of semigroups and the translational hull of a regular Rees matrix semigroup, Trans. Amer. Math. Soc., 43(1969), 303–318. · Zbl 0205.02503 · doi:10.1090/S0002-9947-1969-0246984-3
[13]	–,Dense extensions of completely O-simple semigroups I and II, J. r. u. angew. Math., 258(1973), 103–125, 259(1973), 109–131. · Zbl 0256.20081 · doi:10.1515/crll.1973.258.103
[14]	Skornjakov, L. A.,Regularity of the wreath product of monoids, Semigroup Forum (to appear). · Zbl 0423.20061
[15]	Specht, W.,Eine Verallgemeinerung der Permutationsgruppen, Math. Z., 37(1933), 221–241. · Zbl 0007.14904 · doi:10.1007/BF01474578

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