Green's Relations in Finnite Function Semigroups
JOHN BAILLIEUL (1971)
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JOHN BAILLIEUL (1971)
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Hisamitsu Serizawa (1992)
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M.V. Volkov (1982)
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KERMIT SIGMON (1971)
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B. M. Schein (1974)
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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...
Kenneth D. Jr. Magill (1979)
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A. Batbedat, J.B. Fountain (1981)
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J. Gilewski (1972)
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Anzelm Iwanik (1977)
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