On CM-groupoids with multiple identities and medial topological left loops
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CHIRIAC, Liubomir, BOBEICĂ, Natalia, LUPASHCO, Natalia, PAVEL, Dorin. On CM-groupoids with multiple identities and medial topological left loops. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2021, nr. 2(12), pp. 120-131. ISSN 2537-6284. DOI: https://doi.org/10.36120/2587-3644.v12i2.120-131
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Acta et commentationes (Ştiinţe Exacte și ale Naturii)
Numărul 2(12) / 2021 / ISSN 2537-6284 /ISSNe 2587-3644

On CM-groupoids with multiple identities and medial topological left loops

Despre CM-grupoizi cu unitatii multiple si bucle de stânga mediale topologice

DOI:https://doi.org/10.36120/2587-3644.v12i2.120-131
CZU: 512.548
MSC 2010: 97U99.

Pag. 120-131

Chiriac Liubomir, Bobeică Natalia, Lupashco Natalia, Pavel Dorin
 
Tiraspol State University
 
 
Disponibil în IBN: 10 februarie 2022


Rezumat

This paper studies some properties of CM-groupoids with multiple identities and medial topological left loops. The conditions for a CM-groupoid to become a CM-quasigroup were found. A new method of constructing non-associative medial topological quasigroups with left identy is given. Various examples of quasigroups with multiple identities have been constructed.

În aceasta lucrare sunt examinate proprietati ale CM-groupoizilor cu unitati multiple si a buclelor de stânga topologice mediale. Au fost determinate conditiile pentru care un CM-groupoid devineCM-quasigroup. Este propusa o metoda noua de constructie a quasigrupurilor mediale topologice cu unitate de stânga. Sunt construite diverse exemple de quasigrupuri cu unitati multiple.

Cuvinte-cheie
CM-groupoid, medial topological quasigroups, multiple identities, s3(1,3)homogeneous isotope,

CM-grupoid, qasigrupuri mediale topologice, unitat, i multiple, s3(1,3)izotop omogen.

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<dc:creator>Chiriac, L.L.</dc:creator>
<dc:creator>Bobeică, N.</dc:creator>
<dc:creator>Lupașco, N.</dc:creator>
<dc:creator>Pavel, D.I.</dc:creator>
<dc:date>2021-12-29</dc:date>
<dc:description xml:lang='en'><p>This paper studies some properties of CM-groupoids with multiple identities and medial topological left loops. The conditions for a CM-groupoid to become a CM-quasigroup were found. A new method of constructing non-associative medial topological quasigroups with left identy is given. Various examples of quasigroups with multiple identities have been constructed.</p></dc:description>
<dc:description xml:lang='ro'><p>&Icirc;n aceasta lucrare sunt examinate proprietati ale CM-groupoizilor cu unitati multiple si a buclelor de st&acirc;nga topologice mediale. Au fost determinate conditiile pentru care un CM-groupoid devineCM-quasigroup. Este propusa o metoda noua de constructie a quasigrupurilor mediale topologice cu unitate de st&acirc;nga. Sunt construite diverse exemple de quasigrupuri cu unitati multiple.</p></dc:description>
<dc:identifier>10.36120/2587-3644.v12i2.120-131</dc:identifier>
<dc:source>Acta et commentationes (Ştiinţe Exacte și ale Naturii) 12 (2) 120-131</dc:source>
<dc:subject>CM-groupoid</dc:subject>
<dc:subject>medial topological quasigroups</dc:subject>
<dc:subject>multiple identities</dc:subject>
<dc:subject>s3(1,3)homogeneous isotope</dc:subject>
<dc:subject>CM-grupoid</dc:subject>
<dc:subject>qasigrupuri mediale topologice</dc:subject>
<dc:subject>unitat</dc:subject>
<dc:subject>i multiple</dc:subject>
<dc:subject>s3(1,3)izotop omogen.</dc:subject>
<dc:title>On CM-groupoids with multiple identities and medial topological left loops</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
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