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Chromosome-scale genome assembly of diploid halophyte Thinopyrum bessarabicum excludes J genome from polyploid ancestry

open access: yes
Grewal S   +19 more
europepmc   +1 more source

The origins and molecular evolution of sperm

open access: yes
Matte A   +3 more
europepmc   +1 more source

Basis reduction for cryptogroups and orthogroups [PDF]

open access: yesSemigroup Forum, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A C Casimiro, Eduardo Skapinakis
exaly   +3 more sources
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LR-normal orthogroups

Science in China Series A: Mathematics, 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 ...
M K Sen, Sen M K, K P Shum
exaly   +3 more sources

ON GENERALIZED ORTHOGROUPS

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
exaly   +2 more sources

A structure theorem for orthogroups

open access: yesJournal of Pure and Applied Algebra, 1976
exaly   +2 more sources

Maximal Normal Orthogroups in Rings Containing No Infinite Semilattices

Communications in Algebra, 2006
ABSTRACT Let R be a ring regarded as a multiplicative semigroup which contains no infinite subsemilattices. We investigate subsemigroups of R which are normal orthogroups, and present a construction from which all such maximal normal orthogroups can be obtained.
Edmond W H Lee
exaly   +3 more sources

Bi-ideals in regular semigroups and in orthogroups

Acta Mathematica Hungarica, 1986
The author investigates regular semigroups by means of their bi-ideals. A bi-ideal of a semigroup S is a subsemigroup \(B\subseteq S\) with BSB\(\subseteq B\); the bi-ideals of S form a semigroup \({\mathfrak B}(S)\) under complex multiplication. The following two 'reduction theorems' are proven for \({\mathfrak B}(S):\) 1.
Maria Maddalena Miccoli
exaly   +3 more sources

Orthogroups with an associate subgroup

Acta Mathematica Hungarica, 2009
An 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 \(s=ss^*s\).
exaly   +2 more sources

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