Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices

Kösal, Hidayet Hüda; Tosun, Murat

dc.contributor.authors	Kosal, HH; Tosun, M;
dc.date.accessioned	2020-01-17T08:21:41Z
dc.date.available	2020-01-17T08:21:41Z
dc.date.issued	2017
dc.identifier.citation	Kosal, HH; Tosun, M; (2017). Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 25, 142-125
dc.identifier.issn	1224-1784
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6081
dc.identifier.uri	https://doi.org/10.1515/auom-2017-0040
dc.description.abstract	In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion matrix algebra are established. Equalities of these equivalence relations are explicitly determined. Also Syvester-s-Conjugate commutative quaternion matrix equations are studied by means of real representation of the commutative quaternion matrices and consimilarity of the two commutative quaternion matrices.
dc.language	English
dc.publisher	OVIDIUS UNIV PRESS
dc.subject	Mathematics
dc.title	Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices
dc.type	Article
dc.identifier.volume	25
dc.identifier.startpage	125
dc.identifier.endpage	142
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Kösal, Hidayet Hüda
dc.contributor.saüauthor	Tosun, Murat
dc.relation.journal	ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
dc.identifier.wos	WOS:000419708400010
dc.identifier.doi	10.1515/auom-2017-0040
dc.identifier.eissn	1844-0835
dc.contributor.author	Kösal, Hidayet Hüda
dc.contributor.author	Tosun, Murat