In mathematics and abstract algebra, a Bol loop is an algebraic structure generalizing the notion of group. Bol loops are named for the Dutch mathematician Gerrit Bol who introduced them in (Bol 1937).
A loop, L, is said to be a left Bol loop if it satisfies the identity
, for every a,b,c in L,
while L is said to be a right Bol loop if it satisfies
, for every a,b,c in L.
These identities can be seen as weakened forms of associativity, or a strengthened form of (left or right) alternativity.
A loop is both left Bol and right Bol if and only if it is a Moufang loop. Alternatively, a right or left Bol loop is Moufang if and only if it satisfies the flexible identity a(ba) = (ab)a . Different authors use the term "Bol loop" to refer to either a left Bol or a right Bol loop.
algebra, a Bolloop is an algebraic structure generalizing the notion of group. Bolloops are named for the Dutch mathematician Gerrit Bol who introduced...
flexible loop that is not middle Bol? Proposed: by Michael Kinyon at Loops '03, Prague 2003 Is there a finite simple nonassociative Bolloop with nontrivial...
Look up Bol, bol, or -bol in Wiktionary, the free dictionary. Bol or BOL may refer to: BOL (band), a Norwegian electronica band Bol (music), a vocal percussion...
specialized in geometry. He is known for introducing Bolloops in 1937, and Bol’s conjecture on sextactic points. Bol earned his PhD in 1928 at Leiden University...
Gyrogroups are a type of Bolloop. Gyrocommutative gyrogroups are equivalent to K-loops although defined differently. The terms Bruck loop and dyadic symset...
Awards. Aslam made his acting debut in 2011, with the Urdu social drama film Bol. In 2019, he was awarded a star in the Dubai Walk of Fame after his nomination...
Its route features a large loop which is about the length of a half-marathon (21,095 km), followed by a second smaller loop (10,540 km) which was completed...
1985 USBL season would later play in the NBA, such as Michael Adams, Manute Bol, Ron Crevier, Spud Webb and John "Hot Rod" Williams. After the regular season...
Mataram Song (2019) Mere Angne Mein (2020) Satti Par Satto: Saathi and Bol Bilaadi Bol (2018) Daha Balunga Lekhi Chi Na Tara Pula Rangadu Ishq Chinnadana...
Jarrell, Richard A.; Marché, Jordan D.; Ragep, F. Jamil; Palmeri, Jo Ann; Bol, Marvin (18 September 2007). Biographical Encyclopedia of Astronomers. New...
maximum flexibility and protection with an updated law profile hook and loop that minimizes snag and reduces weight; they have an authentication and data...
(runner-up) Tahsin Küçük (third place) Eren Kaşıkçı (Winner) Mert Yılmaz Safanur Bol Emre Büber Nursima Toğaç Berk Vural Urun Mert Ateş Durukan (Participated...
of Acha People in Takum, Kuchecheb of Kutebs in Takum and Ussa, Kati and Bol of the Mambilla and host of others. Taraba is called "Nature's gift to the...
September 18, 2022. J.D. Morris (October 30, 2023). "London Breed vs. the 'doom loop': How will S.F.'s mayor solve her biggest political problem?". San Francisco...
Quality Traits in Broccoli Are Illuminated by Evaluation of the Immortal BolTBDH Mapping Population". Frontiers in Plant Science. 10: 1104. doi:10.3389/fpls...
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