Приказ основних података о дисертацији
Prilog teoriji poluprstena
dc.contributor.advisor | Šešelja, Branimir | |
dc.contributor.other | Milić, Svetozar | |
dc.contributor.other | Šešelja, Branimir | |
dc.contributor.other | Crvenković, Siniša | |
dc.contributor.other | Tepavčević, Andreja | |
dc.creator | Budimirović, Vjekoslav | |
dc.date.accessioned | 2021-02-25T14:53:27Z | |
dc.date.available | 2021-02-25T14:53:27Z | |
dc.date.issued | 2001-07-17 | |
dc.identifier.uri | https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija159922204602082.pdf?controlNumber=(BISIS)73360&fileName=159922204602082.pdf&id=16577&source=NaRDuS&language=sr | sr |
dc.identifier.uri | https://www.cris.uns.ac.rs/record.jsf?recordId=73360&source=NaRDuS&language=sr | sr |
dc.identifier.uri | https://www.cris.uns.ac.rs/DownloadFileServlet/IzvestajKomisije159896145801162.pdf?controlNumber=(BISIS)73360&fileName=159896145801162.pdf&id=16537&source=NaRDuS&language=sr | sr |
dc.identifier.uri | /DownloadFileServlet/IzvestajKomisije159896145801162.pdf?controlNumber=(BISIS)73360&fileName=159896145801162.pdf&id=16537 | |
dc.identifier.uri | https://nardus.mpn.gov.rs/handle/123456789/17970 | |
dc.description.abstract | Poluprsten je algebarska struktura (5, + , •) sa dve binarne operacije u kojoj su (S,+ ) i (5, •) polugrupe i druga je distributivna prema prvoj sa obe strane. U radu su uvedeni pojmovi p-polugrupe kao i p-poluprstena. Kažemo daje polugrupa ( S, + ) p-polugrupa ako (Vz G S)(3yG S)(x+py+x = y,py + x+py = z ). Poluprsten ( S, +.•)zovemo p-poluprsten ako (Vz G S)(3yG S)(x + py + x = y,py + x + py = z,4p z2 = 4pz). Dokazano je da je svaka p-polugrupa pokrivena grupama koje su u potpunosti opisane. Takođe je pokazano da su p-poluprsteni pokriveni pretprsteni-ma. Za p = 4A; + 3 (kG N0)ili p paran broj p-polugrupe, odnosno p-poluprsteni su varijeteti. | sr |
dc.description.abstract | A semiring (5 ,+ ,-) is an algebric structure with two binary operations in which ( S, + ) and (S,•) are semigroups, and the second operation is two-side dis tributive with respect to the first one. In the present paper notions of p-semigroup and p-semiring are introduced. We say that a semigroup (S', + ) is a p-semigroup if (Vx £ S)(3y £ S)(x + py + x = y,py + x + py = x).A semiring (S', + , •) is called a p-semiring if (Vx £ S)(3y£ S)(x +py + x = y,py + x + py = x,4px2 = 4px). It is proved that each p-semigroup is covered by groups which are completely described. It is also proved that p-semirings are covered by prering. For p = 4k + 3 (k £ No) or for even p, the class of p-semigroups, respectively of p-semirings are varieties. | en |
dc.language | sr (latin script) | |
dc.publisher | Универзитет у Новом Саду, Природно-математички факултет | sr |
dc.rights | openAccess | en |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.source | Универзитет у Новом Саду | sr |
dc.subject | poluprsten | sr |
dc.subject | semiring | en |
dc.subject | polugrupa | sr |
dc.subject | grupa | sr |
dc.subject | p-polugrupa | sr |
dc.subject | p-poluprsten | sr |
dc.subject | pretprsten | sr |
dc.subject | prsten | sr |
dc.subject | izomorfizam poluprstena | sr |
dc.subject | varijetet | sr |
dc.subject | semigroup | en |
dc.subject | group | en |
dc.subject | p-semigroup | en |
dc.subject | p-semiring | en |
dc.subject | prering | en |
dc.subject | ring | en |
dc.subject | isomorphism of semiring | en |
dc.subject | variety | en |
dc.title | Prilog teoriji poluprstena | sr |
dc.type | doctoralThesis | en |
dc.rights.license | BY-NC-ND | |
dcterms.abstract | Шешеља, Бранимир; Тепавчевић, Aндреја; Шешеља, Бранимир; Црвенковић, Синиша; Милић, Светозар; Будимировић, Вјекослав; Прилог теорији полупрстена; Прилог теорији полупрстена; | |
dc.identifier.fulltext | https://nardus.mpn.gov.rs/bitstream/id/68720/Disertacija.pdf | |
dc.identifier.fulltext | https://nardus.mpn.gov.rs/bitstream/id/68721/IzvestajKomisije.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_nardus_17970 |