Results 141 to 150 of about 9,185 (173)
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Semigroup Rings of Completely Regular Semigroups
1990A semigroup S is said to be completely regular if and only if it is covered by its subgroups; that is, if and only if, for each a ∈ S, a ∈ a2 S∩S a2. Groups and bands (semigroups of idempotents) are extreme special cases. In this paper a survey is given of results on the Jacobson radical of the semigroup ring of a completely regular semigroup over a ...
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2007
We give survey on techniques and recent result on semigroup rings and matters related to units of integral semigroup rings.
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We give survey on techniques and recent result on semigroup rings and matters related to units of integral semigroup rings.
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Identities of Regular Semigroup Rings
Semigroup Forum, 1998The problem ``which semigroup rings are rings with identity'' was raised a long time ago. In [Semigroup Forum 46, No. 1, 27-31 (1993; Zbl 0787.16024)], in order to investigate the existence of identity of an orthodox semigroup ring, \textit{F. Li} asked: for a ring \(R\) with identity and a regular semigroup \(S\), if \(RS\) is a ring with identity, is
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Ring semigroups whose subsemigroups intersect
Semigroup Forum, 2009A semigroup is called a ring semigroup if it is the multiplicative semigroup of some ring. For a ring semigroup \((S,\cdot)\) and an addition \(+\) such that \(T=(S,+,\cdot)\) is a ring, it is proved that every two nonzero subsemigroups of \(S\) intersect if and only if \(T\) is either a nil ring or an absolutely algebraic field of prime characteristic
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1996
A ring means an associative ring. Let \(R\) be a ring, let \(S\) be a semigroup, and let \(S^*\) be the set of all nonzero elements of \(S\). Suppose \(\sigma:S^*\to\text{End }R\) is a mapping satisfying the condition: if \(a,b,ab\in S^*\) then \(\sigma(ab)=\sigma(a)\sigma(b)\). Using \(\sigma\), the authors define a skew semigroup ring of \(S\) over \(
G. ABRAMS, MENINI, Claudia
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A ring means an associative ring. Let \(R\) be a ring, let \(S\) be a semigroup, and let \(S^*\) be the set of all nonzero elements of \(S\). Suppose \(\sigma:S^*\to\text{End }R\) is a mapping satisfying the condition: if \(a,b,ab\in S^*\) then \(\sigma(ab)=\sigma(a)\sigma(b)\). Using \(\sigma\), the authors define a skew semigroup ring of \(S\) over \(
G. ABRAMS, MENINI, Claudia
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THE SEMIPRIMENESS OF SEMIGROUP RINGS
JP Journal of Algebra, Number Theory and Applications, 2021Hirano, Yasuyuki +2 more
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Ruthenium-Catalyzed Cycloadditions to Form Five-, Six-, and Seven-Membered Rings
Chemical Reviews, 2021Rosalie S Doerksen +2 more
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