Reflexive–EP elements in rings
نویسنده
چکیده
We define and characterize reflexive–EP elements in rings, that is elements which commute with their image-kernel (p, q)-inverse.
منابع مشابه
EP - Elements in an Incline
Inclines are additively idempotent semi rings in which products are less than or equal to either factor.The Characterization of EP elements, Product of EP elements in an incline with involution are obtained as a generalization and development of EP elements in a *regular ring and of EP elements in a reflexive semi group. Mathematics Subject Classification: 16Y60, 15A09
متن کاملOn EP elements, normal elements and partial isometries in rings with involution
This is a continuation to the study of EP elements, normal elements and partial isometries in rings with involution. The aim of this paper is to give the negative solution to three conjectures on this subject. Moreover, some new characterizations of EP elements in rings with involution are presented.
متن کاملEla on Ep Elements, Normal Elements and Partial Isometries in Rings with Involution
This is a continuation to the study of EP elements, normal elements and partial isometries in rings with involution. The aim of this paper is to give the negative solution to three conjectures on this subject. Moreover, some new characterizations of EP elements in rings with involution are presented.
متن کاملBrauer–thrall for Totally Reflexive Modules
Let R be a commutative noetherian local ring that is not Gorenstein. It is known that the category of totally reflexive modules over R is representation infinite, provided that it contains a non-free module. The main goal of this paper is to understand how complex the category of totally reflexive modules can be in this situation. Local rings (R, m) with m3 = 0 are commonly regarded as the stru...
متن کاملFurther results on partial isometries and EP elements in rings with involution
We investigate elements in rings with involution which are EP or partial isometries. Some well-known results are generalized.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014