Bi-ideals in ordered semigroups and ordered groups.
Kehayopulu, N., Ponizovskij, J.S., Tsingelis, M. (1999)
Zapiski Nauchnykh Seminarov POMI
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Kehayopulu, N., Ponizovskij, J.S., Tsingelis, M. (1999)
Zapiski Nauchnykh Seminarov POMI
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Kehayopulu, Niovi (2006)
International Journal of Mathematics and Mathematical Sciences
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K.P. Shum, S.Y. Kwan (1980)
Semigroup forum
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T.S. Blyth, G.A. Pinto (2016)
Discussiones Mathematicae General Algebra and Applications
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An ordered semigroup S is said to be principally ordered if, for every x ∈ S there exists x* = max{y ∈ S | xyx ⩽ x}. Here we investigate those principally ordered regular semigroups that are pointed in the sense that the classes modulo Green's relations ℒ,ℛ,𝒟 have biggest elements which are idempotent. Such a semigroup is necessarily a semiband. In particular we describe the subalgebra of (S;*) generated by a pair of comparable idempotents that are 𝒟-related. We also prove that those...
D.C.J. Burgess, R. McFadden (1962)
Mathematische Zeitschrift
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M. Satyanarayana (1988)
Semigroup forum
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N. Kehayopulu, M. Tsingelis (1993)
Semigroup forum
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Qiumei Wang, Jianming Zhan, R.A. Borzooei (2017)
Open Mathematics
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In this paper, we study a kind of soft rough semigroups according to Shabir’s idea. We define the upper and lower approximations of a subset of a semigroup. According to Zhan’s idea over hemirings, we also define a kind of new C-soft sets and CC-soft sets over semigroups. In view of this theory, we investigate the soft rough ideals (prime ideals, bi-ideals, interior ideals, quasi-ideals, regular semigroups). Finally, we give two decision making methods: one is for looking a best a parameter...
M. Satyanarayana (1990)
Semigroup forum
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T.S. Blyth, G.A. Pinto (1997)
Semigroup forum
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Kehayopulu, Niovi, Tsingelis, Michael (2006)
Lobachevskii Journal of Mathematics
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Arslanov, M., Kehayopulu, N. (2002)
Lobachevskii Journal of Mathematics
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H.J. Weinert (1986-1987)
Semigroup forum
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Anjan Kumar Bhuniya, Kalyan Hansda (2015)
Discussiones Mathematicae - General Algebra and Applications
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An element of an ordered semigroup S is called an ordered idempotent if e ≤ e². Here we characterize the subsemigroup is also regular. If S is a regular ordered semigroup generated by its ordered idempotents then every ideal of S is generated as a subsemigroup by ordered idempotents.
M. Erné, J.Z. Reichman (1986-1987)
Semigroup forum
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