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Preserving zeros of ▫$xy$▫ and ▫$xy^\ast$▫Stopar, NikOpišemo surjektivne aditivne preslikave ▫$\theta : A \to B$▫, ki ohranjajo ničelne produkte, kjer je ▫$A$▫ kolobar z netrivialnim idempotentom, ▫$B$▫ pa prakolobar. Poleg tega karakteriziramo tudi ... surjektivne aditivne preslikave ▫$\theta : A \to B$▫, za katere za vsaka ▫$x,y \in A$▫ velja ▫$\theta(x) \theta(y)^\ast = 0$▫ natanko tedaj, ko je ▫$xy^\ast = 0$▫. Pri tem je ▫$A$▫ enotski prakolobar z involucijo, ki vsebuje netrivialen idempotent, ▫$B$▫ pa prakolobar z involucijo.Source: Communications in algebra. - ISSN 0092-7872 (Vol. 40, no. 6, 2012, str. 2053-2065)Type of material - article, component partPublish date - 2012Language - englishCOBISS.SI-ID - 16315737
Author
Stopar, Nik
Topics
matematika |
linearna algebra |
ohranjevalci ničelnega produkta |
involucija |
Martindaleovi kolobarji kvocientov |
maksimalni kolobarji kvocientov |
prakolobar |
mathematics |
linear algebra |
involution |
martindale rings of quotients |
maximal rings of quotients |
prime ring |
zero product preservers
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