Simple (abstract algebra)

In mathematics, the term simple is used to describe an algebraic structure which in some sense cannot be divided by a smaller structure of the same type. Put another way, an algebraic structure is simple if the kernel of every homomorphism is either the whole structure or a single element. Some examples are:

  • A group is called a simple group if it does not contain a nontrivial proper normal subgroup.
  • A ring is called a simple ring if it does not contain a nontrivial two sided ideal.
  • A module is called a simple module if it does not contain a nontrivial submodule.
  • An algebra is called a simple algebra if it does not contain a nontrivial two sided ideal.
  • The general pattern is that the structure admits no non-trivial congruence relations.

    The term is used differently in semigroup theory. A semigroup is said to be simple if it has no nontrivial ideals, or equivalently, if Green's relation J is the universal relation. Not every congruence on a semigroup is associated with an ideal, so a simple semigroup may have nontrivial congruences. A semigroup with no nontrivial congruences is called congruence simple.

    Passion (Kreesha Turner album)

    Passion is the first album by the Canadian singer Kreesha Turner. It was released on August 12, 2008, in Canada and was released in early 2009 in the United States.Passion had been available for advanced streaming on MuchMusic.com. a week earlier.Passion was released in the US in early 2009.

    In early August, 2008, the album was leaked onto MTV Canada's The Leak on its official website.

    Initially, on the back of the album, track 14 was listed as the "Bounce With Me (Rhythm Mix)" but this was an error and the track is actually the "Don't Call Me Baby (Rhythm Mix)". This error on the back cover was corrected on later pressings of the album.

    Although Turner originally signed in the US to Virgin Records, a Capitol Music Group label, her first American release will instead be shifted to the Capitol Records imprint, also within the Capitol Music Group umbrella. This will keep a consistency with her Canadian releases under EMI Music Canada which utilize the Capitol Records imprint and are copyrighted by Capitol Records, LLC.

    Simple (bank)

    Simple is an American direct bank based in Portland, Oregon. The company provides FDIC-insured checking accounts through a partnership with The Bancorp and is part of the STAR network for surcharge-free access to around 55,000 ATMs. Since 2014, Simple has been part of the BBVA Group, one of the largest banks in Europe.

    History

    What was initially known as BankSimple was founded in 2009 in Brooklyn by former CTO Alex Payne, CEO Joshua Reich and CFO Shamir Karkal. In August 2011, the company raised $10 million from investors led by IA Ventures, Shasta Ventures and Dave McClure's fund 500 Startups. Later that month, the company moved its headquarters to Portland, where five of the company's 17 employees already resided.

    The company launched in the summer of 2012 as a limited beta.

    By January 2013, the company had 20,000 customers and had processed more than $200 million in transactions. By July 2013, its customers had increased to 40,000 and total transaction values increased to greater than $1 billion. At year's end in 2013, Simple reported processing on average around 13 debit transactions per minute with an overall customer balance of $64 million.

    Oil (band)

    Oil is a Christian thrash metal band from Long Beach, California, USA. The band was formed in 1997 by Ron Rinehart, the former vocalist with Dark Angel, who converted to Christianity at a Harvest Crusade after Dark Angel's dissolution in 1992. Other members include lead guitarist Blake Nelson (formerly with Deceiver, Desire and Captain Black) and drummer Jason Vander Pal. Oil has released two studio albums and one live album.

    In 2004, Rinehart left the band to pursue other non-musical interests. The rest of the group is looking for a new vocalist.

    Biography

    Oil's first release was a self-financed EP in 1999.

    The Refine album was well-reviewed for its honest, no frills metal approach. The band performed live gigs, including a show at the Stryper Expo, but Rinehart received an injury soon after the album release which meant Oil did not perform for nearly a year. Once recovered, Rinehart and Oil returned to performing, being announced as special guests to Disciple in April.

    The band recorded a live album Choice Cuts Off the Chopping Block at the First Baptist Church in Downey, California, in November 2002. The record included two new acoustic songs, "This Is My Prayer" and "Medicine Man". When bass guitarist Matthew Joy opted out in May 2003, Oil recruited Jonathan Thiemens of Blind Sacrificies as a temporary replacement. This became permanent in July.

    Oil (film)

    Oil is a 2009 documentary film directed by Massimiliano Mazzotta. It explores the Italian energy provider Saras S.p.A., operating in the area of oil refining and the production of electricity, located in the island of Sardinia, near Cagliari and the impact of oil development on the land and lives of the local population.

    Awards

  • WINNER, Best Documentary – Section Italian Documentaries Italian Environmental Film Festival, 2009
  • External links

  • Il Documento Oil. Documentario sulla Saras English subtitles

  • CKY (band)

    CKY is an American heavy metal band from West Chester, Pennsylvania. Formed in 1998 by vocalist and guitarist Deron Miller, guitarist Chad I Ginsburg and drummer Jess Margera, the group currently features Ginsburg, Margera and bassist Matt Deis, who have performed with frontman Daniel Davies since Miller's departure. Closely linked to the CKY Crew, which features Margera's brother Bam, the band found initial recognition through its musical contributions to the CKY video series and the TV series Jackass.

    Originally known by the full name Camp Kill Yourself, and later credited briefly as simply Camp, the band released its debut album Volume 1 in 1999, largely made up of material recorded for the CKY films. The group later signed with The Island Def Jam Music Group and released Infiltrate•Destroy•Rebuild in 2002, which gave the band its first experience of US chart success. An Answer Can Be Found followed in 2005, with latest studio album Carver City released by Roadrunner Records in 2009.

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    Latest News for: Simple oil

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    Hindustan Times 25 Apr 2025
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    Knoxville Daily Sun 25 Apr 2025
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    Red Bluff Daily News 24 Apr 2025
    Which brings us back to gas spouts — the simple, old-fashioned ones. Our grandfathers often stored their gas in a repurposed 5-gallon oil or kerosene canister with a simple steel spout that lasted for decades and never spilled a drop of gas.
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    Oelwein Daily Register 23 Apr 2025
    Which brings us back to gas spouts — the simple, old-fashioned ones. Our grandfathers often stored their gas in a repurposed 5-gallon oil or kerosene canister with a simple steel spout that lasted for decades and never spilled a drop of gas.
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    Hindustan Times 23 Apr 2025
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    Daily Freeman 23 Apr 2025
    Which brings us back to gas spouts — the simple, old-fashioned ones. Our grandfathers often stored their gas in a repurposed five-gallon oil or kerosene canister with a simple steel spout that lasted for decades and never spilled a drop of gas.
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    Recipes: Four fresh ideas for spring lettuce

    Pioneer Press 23 Apr 2025
    Or simply slice and saute it as you would cabbage, kale or spinach with a little olive or sesame oil for a simple side dish ... 1/4 – 1/2 cup olive oil ... With the food processor running, drizzle in 1/4 cup of olive oil and pulse until combined.
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    With over 200 kg hashish oil (liquid ganja), Andhra Pradesh achieves rare high

    The Times of India 22 Apr 2025
    The Narcotics Control Bureau (NCB) puts the figure at 231 kgs of hashish oil for the three years from 2022 to 2024 ... The extraction of hail oil from ganja is a simple process and all they need to do is to crush the dry cannabis in a machine.
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    Spring brings asparagus in the Midwest. Check out this fresh recipe

    The State Journal-Register 22 Apr 2025
    Grill it with olive oil and lemon for a simple side dish ... Drain and set aside.In a large skillet, heat the olive oil or butter over medium heat.
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    The Mercury News 22 Apr 2025
    The Honest Paws CBD Oil for DogsMobility is a stellar joint supplement for dogs ... Honest Paws CBD Oil for Dogs – Mobility ... full-spectrum CBD oil for any dog with hip or joint issues.
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    B.C. company aims to commercialize carbon capture on a global scale

    North Shore News 22 Apr 2025
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    Chicago Sun-Times 22 Apr 2025
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