BibTex Citation Data :
@article{JFMA16363, author = {Titi Udjiani SRRM}, title = {SYARAT PERLU DAN CUKUP ELEMEN NORMAL PADA RING DENGAN ELEMEN SATUAN}, journal = {Journal of Fundamental Mathematics and Applications (JFMA)}, volume = {5}, number = {2}, year = {2022}, keywords = {Ring, Normal, Moore, Penrose.}, abstract = { In a ring with involution, it is possible to collect elements that are commutative with elements obtained from the results of the involution operation on itself. Such elements are called normal elements. On other hand, rings with involution have elements that have Moore Penrose inverse. Elements that have Moore Penrose inverse are not always normal. This paper discusses the necessary and sufficient conditions for elements that have Moore Penrose inverse is normal. The method used is determine set of elements that have Moore Penrose inverse. Then take normal elements and determine sufficient conditions. Investigate whether the sufficient condition is a necessary condition. If yes, we obtain the necessary and sufficient condition. If not, determine else sufficient conditions for can be added to obtain the necessary and sufficient conditions. }, issn = {2621-6035}, pages = {112--115} doi = {10.14710/jfma.v5i2.16363}, url = {https://ejournal2.undip.ac.id/index.php/jfma/article/view/16363} }
Refworks Citation Data :
In a ring with involution, it is possible to collect elements that are commutative with elements obtained from the results of the involution operation on itself. Such elements are called normal elements. On other hand, rings with involution have elements that have Moore Penrose inverse. Elements that have Moore Penrose inverse are not always normal. This paper discusses the necessary and sufficient conditions for elements that have Moore Penrose inverse is normal. The method used is determine set of elements that have Moore Penrose inverse. Then take normal elements and determine sufficient conditions. Investigate whether the sufficient condition is a necessary condition. If yes, we obtain the necessary and sufficient condition. If not, determine else sufficient conditions for can be added to obtain the necessary and sufficient conditions.
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