Solvable word problems in semigroups.
R.Z. Goldstein, P.A. Cummings (1995)
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R.Z. Goldstein, P.A. Cummings (1995)
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A. Batbedat, J.B. Fountain (1981)
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B. M. Schein (1974)
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И.Л. Мельничук (1984)
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Alair Pereira do Lago, Imre Simon (2010)
RAIRO - Theoretical Informatics and Applications
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This paper surveys the area of Free Burnside Semigroups. The theory of these semigroups, as is the case for groups, is far from being completely known. For semigroups, the most impressive results were obtained in the last 10 years. In this paper we give priority to the mathematical treatment of the problem and do not stress too much neither motivation nor the historical aspects. No proofs are presented in this paper, but we tried to give as many examples as was possible. ...
J. P. Holmes (1974)
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M.V. Volkov (1982)
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L.M. Martynov (1989)
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J. Gilewski (1972)
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Anzelm Iwanik (1977)
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Ze Gu, Xilin Tang (2015)
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In this paper, we give some new characterizations of orthodox semigroups in terms of the set of inverses of idempotents. As a generalization, a new class of regular semigroups, namely Vn-semigroups, is introduced. Also, we give a characterization of Vn-semigroups and investigate some properties of Vn-semigroups. Furthermore, we show that the class of Vn-semigroups is closed under direct products and homomorphic images. However, regular subsemigroups of Vn-semigroups (n ≥ 2) are not necessarily...