کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1899693 1045121 2012 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Logic Order on a Generalized Hermitian Algebra
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
The Logic Order on a Generalized Hermitian Algebra
چکیده انگلیسی

In this paper, a new order, the so-called logic order, is introduced on a generalized Hermitian algebra. We investigate the existence of the infima and the suprema of elements with respect to the logic order in the generalized Hermitian algebra, and give an explicit expression for the infimum of e and p, where p is a projection and e belongs to the unit interval involving the original ordering. Moreover, we also obtain that in regard to this new order, a generalized Hermitian algebra forms a generalized orthomodular poset.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 69, Issue 3, June 2012, Pages 371–381
نویسندگان
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