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Partial actions and proper extensions of two-sided restriction semigroupsDokuchaev, Mikhailo ; Khrypchenko, Mykola ; Kudryavtseva, GannaV članku dokažemo strukturni rezultat o pravih razširitvah dvostranskih omejitvenih polgrup preko parcialnih delovanj. S tem posplošimo ustrezne rezultate za monoide in za inverzne polgrupe, hkrati ... slednje nadgradimo. V članku uvedemo in preučimo nekaj razredov parcialnih delovanj dvostranjskih omnejitvenih polgrup, ki posplošujejo parcialna delovanja monoidov in inverznih polgrup. Pokažemo, da obstaja adjungiranost med kategorijo ▫${\mathcal{P}}(S)$▫, objekti katere so prave razširitve omejitvene polgrupe ▫$S$▫ in kategorijo ▫${\mathcal{A}}(S)$▫, objekti katere so parcialna delovanja omejitvene polgrupe ▫$S$▫, ki zadoščajo določenim pogojem, ki so bili uvedeni v delu O'Carrolla. V kategoriji ▫${\mathcal{A}}(S)$▫ določimo dve izomorfni podkategoriji. Ena podkategorija je zrcalna, druga kozrcalna, vsaka izmed teh kategorij pa je ekvivalentna kategoriji ▫${\mathcal{P}}(S)$▫.Source: Journal of Pure and Applied Algebra. - ISSN 0022-4049 (Vol. 225, iss. 9, Sep. 2021, art. 106649 (30 str.))Type of material - article, component part ; adult, seriousPublish date - 2021Language - englishCOBISS.SI-ID - 46429955
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source: Journal of Pure and Applied Algebra. - ISSN 0022-4049 (Vol. 225, iss. 9, Sep. 2021, art. 106649 (30 str.))
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Dokuchaev, Mikhailo | ![]() |
Khrypchenko, Mykola | ![]() |
Kudryavtseva, Ganna | 30109 |
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