On a class of semigroups admitting ring structure.
S. Ligh (1976/77)
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S. Ligh (1976/77)
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M. Satyanarayana (1974)
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M. Satyanarayana (1971)
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M. Satyanarayana (1980)
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C.J. Maxson (1972)
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S. Ligh, P. Jones (1979)
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Dragić Banković (1987)
Publications de l'Institut Mathématique
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Prakit Jampachon, Yeni Susanti, Klaus Denecke (2012)
Discussiones Mathematicae - General Algebra and Applications
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Four-part semigroups form a new class of semigroups which became important when sets of Boolean operations which are closed under the binary superposition operation f + g := f(g,...,g), were studied. In this paper we describe the lattice of all subsemigroups of an arbitrary four-part semigroup, determine regular and idempotent elements, regular and idempotent subsemigroups, homomorphic images, Green's relations, and prove a representation theorem for four-part semigroups.
D. Blagojevic (1986)
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H. Sedaghat (1993)
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T.S. Blyth (1974)
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