Results 181 to 190 of about 2,919 (208)
oggmap: a Python package to extract gene ages per orthogroup and link them with single-cell RNA data
Abstract Summary For model species, single-cell RNA-based cell atlases are available. A good cell atlas includes all major stages in a species’ ontogeny, and soon, they will be standard even for nonmodel species.
KRISTIAN K Ullrich +2 more
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C-repeat binding factors (CBFs) are well-known transcription factors (TFs) that regulate plant cold acclimation. RNA sequencing (RNA-seq) data from diverse plant species provide opportunities to identify other TFs involved in the cold response. However, this task is challenging because gene gain and loss has led to an intertwined community of co ...
Wenwu Wu
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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 \(\
Yanhui Wang
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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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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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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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The Word Problem for Orthogroups
Canadian Journal of Mathematics, 1981A semigroup which is a union of groups is said to be completely regular. If in addition the idempotents form a subsemigroup, the semigroup is said to be orthodox and is called an orthogroup. A completely regular semigroup S is provided in a natural way with a unary operation of inverse by letting a-l for a ∈ S be the group inverse of a in the maximal ...
Gerhard, J. A., Petrich, Mario
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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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