Full and Elementary Nets over the Quotient Field of a Principal Ideal Ring
نویسندگان
چکیده
منابع مشابه
FUZZY SEMI-IDEAL AND GENERALIZED FUZZY QUOTIENT RING
The concepts of fuzzy semi-ideals of R with respect to H≤R and generalized fuzzy quotient rings are introduced. Some properties of fuzzy semiideals are discussed. Finally, several isomorphism theorems for generalized fuzzy quotient rings are established.
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In a recent paper C. Miguel proved that the diameter of the commuting graph of the matrix ring $mathrm{M}_n(mathbb{R})$ is equal to $4$ if either $n=3$ or $ngeq5$. But the case $n=4$ remained open, since the diameter could be $4$ or $5$. In this work we close the problem showing that also in this case the diameter is $4$.
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In this paper similarity classes of three by three matrices over a local principal ideal commutative ring are analyzed. When the residue field is finite, a generating function for the number of similarity classes for all finite quotients of the ring is computed explicitly.
متن کاملfuzzy semi-ideal and generalized fuzzy quotient ring
the concepts of fuzzy semi-ideals of r with respect to h≤r and generalized fuzzy quotient rings are introduced. some properties of fuzzy semiideals are discussed. finally, several isomorphism theorems for generalized fuzzy quotient rings are established.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2018
ISSN: 1072-3374,1573-8795
DOI: 10.1007/s10958-018-3990-y