p-Rings and their Boolean-vector representation
نویسندگان
چکیده
منابع مشابه
Omega-almost Boolean rings
In this paper the concept of an $Omega$- Almost Boolean ring is introduced and illistrated how a sheaf of algebras can be constructed from an $Omega$- Almost Boolean ring over a locally Boolean space.
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We prove that all infinite Boolean rings (algebras) have the property P 6= NP according to the digital (binary) nondeterminism. A.M.S. Classification: 06E99, 03B70.
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The theory of Groebner Bases, which has recently been honored with the ACM Paris Kanellakis Theory and Practice Award, has become a crucial building block to computer algebra, and is widely used in science, engineering, and computer science. It is wellknown that Groebner bases computation is EXP-SPACE in a general polynomial ring setting. However, for many important applications in computer sci...
متن کاملomega-almost boolean rings
in this paper the concept of an $omega$- almost boolean ring is introduced and illistrated how a sheaf of algebras can be constructed from an $omega$- almost boolean ring over a locally boolean space.
متن کاملProto-Boolean rings
We introduce the family of R-based proto-Boolean rings associated with an arbitrary commutative ring R. They generalize the protoBoolean algebra devised by Brown [4] as a tool for expressing in modern language Boole’s research in The Laws of Thought. In fact the algebraic results from [4] are recaptured within the framework of proto-Boolean rings, along with other theorems. The free Boolean alg...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1951
ISSN: 0001-5962
DOI: 10.1007/bf02414856