کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599776 1631152 2014 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bases in semimodules over commutative semirings
ترجمه فارسی عنوان
پایه های نیمه مدول بیش از نیمه های تعاملی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

In this paper, the bases of a semimodule over a commutative semiring R are investigated. Some properties and characterizations of the bases are discussed and some equivalent conditions for a basis to be a free basis in a finitely generated free semimodule over R are given. The different possible cardinalities for a basis in a finitely generated free semimodule over R are considered and some equivalent descriptions are obtained for a commutative semiring R satisfying the property that any two bases for a finitely generated free R-semimodule have the same cardinality. Partial results obtained in the paper develop and generalize the corresponding results for commutative join-semirings and for commutative zerosumfree semirings.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 443, 15 February 2014, Pages 139–152
نویسندگان
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