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Hybridization breaks species barriers in long-term coevolution of a cyanobacterial population. [PDF]
Birzu G +5 more
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Tangerine : a Starship -like element in the genomes of Xanthoria lichen-forming fungi
Tagirdzhanova G +6 more
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Semigroup Forum, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Jiangang +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Jiangang +2 more
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Science in China Series A, 2006
A regular semigroup \(S\) satisfying the condition \(eS\subseteq Se\) or \(Se\subseteq eS\) for every idempotent \(e\) is a completely regular orthodox semigroup and is called an \(LR\)-regular orthogroup. \(S\) is called an \(LR\)-normal orthogroup if in addition its set \(E(S)\) of all idempotens forms a normal band, that is, \(efge=egfe\) for all ...
Guo, Yugi, Shum, K. P., Sen, M. K.
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A regular semigroup \(S\) satisfying the condition \(eS\subseteq Se\) or \(Se\subseteq eS\) for every idempotent \(e\) is a completely regular orthodox semigroup and is called an \(LR\)-regular orthogroup. \(S\) is called an \(LR\)-normal orthogroup if in addition its set \(E(S)\) of all idempotens forms a normal band, that is, \(efge=egfe\) for all ...
Guo, Yugi, Shum, K. P., Sen, M. K.
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Communications in Algebra, 2001
A simple and nice structure theorem for orthogroups was given by Petrich in 1987. In this paper, we consider a generalized orthogroup, that is, a quasi-completely regular semigroup with a band of idempotents in which its set of regular elements, namely, RegS, forms an ideal of S.
X. M. Ren, K. P. Shum
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A simple and nice structure theorem for orthogroups was given by Petrich in 1987. In this paper, we consider a generalized orthogroup, that is, a quasi-completely regular semigroup with a band of idempotents in which its set of regular elements, namely, RegS, forms an ideal of S.
X. M. Ren, K. P. Shum
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Global determinism of normal orthogroups
Semigroup Forum, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Xianzhong, Gan, Aiping, Yu, Baomin
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All varieties of regular orthogroups
Semigroup Forum, 1985An orthogroup is a union of groups in which the idempotents form a subsemigroup (orthodox union of groups). If in addition the idempotents form a regular band, the semigroup is a regular orthogroup. These semigroups form a variety when considered as semigroups with an inverse.
Gerhard, J. A., Petrich, Mario
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Orthogroups with an associate subgroup
Acta Mathematica Hungarica, 2009An orthogroup is defined as a semigroup 1) which is a union of its subgroups and 2) its idempotents form a subsemigroup. A subgroup of a semigroup \(S\) is referred to as an associate subgroup if for every element \(s\in S\) there exists exactly one element \(s^*\in G\) such that \(s=ss^*s\).
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Hall-type representations for generalised orthogroups
Semigroup Forum, 2014An orthodox semigroup is called orthogroup if it is completely regular. Let \(U\) be a subset of the set \(E(S)\) of all idempotents of a semigroup \(S\). Let \(a\widetilde{\mathcal L}_U b\) iff \((\forall e\in U)(ae=a\Leftrightarrow be=b)\). Dually, the relation \(\widetilde{\mathcal R}_U\) is defined. \(S\) is called weakly \(U\)-abundant if every \(\
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