{"product_id":"bck-algebras-versus-m-bck-algebras-foundations-9781848904163","title":"BCK Algebras versus m-BCK Algebras. Foundations","description":"\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis monograph gathers the author's results obtained since April 2019, which have been published in seven papers. Starting from the\u003c\/p\u003e\u003cp\u003eframe-work centered on BCK algebras, m-BCK algebras are defi ned ('m' coming from 'magma') (algebras including the MV and the\u003c\/p\u003e\u003cp\u003eBoolean algebras) and other more general algebras, thus obtaining an analogous new frame-work, centered on m-BCK algebras.\u003c\/p\u003e\u003cp\u003e'Bridge theorems' connecting the two frameworks are obtained, in the involutive case.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eIncorporated within this new frame-work are the quantum structures: the bounded involutive lattices, the De Morgan algebras, \u003c\/p\u003e\u003cp\u003ethe ortholattices, the quantum MV algebras, the orthomodular lattices, with important new results and many examples obtained by using\u003c\/p\u003e\u003cp\u003ethe computer program Prover9\/Mace4. Also included in the book are some new results, never published before, on L algebras, on quantum B\u003c\/p\u003e\u003cp\u003ealgebras, pseudo-BCI\/pseudo-BCK algebras and prealgebras (in the non-commutative case) and important final results on quantum structures, \u003c\/p\u003e\u003cp\u003ewith many examples.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis monograph has 17 chapters, divided into three parts: Part I focuses on the 'world' of BCK algebras and of pseudo-BCK algebras, \u003c\/p\u003e\u003cp\u003ePart II concentrates on the 'world' of m-BCK algebras and Part III is about 'bridge theorems' between the two 'worlds'.\u003cbr\u003e\u003c\/p\u003e","brand":"College Publications","offers":[{"title":"Default Title","offer_id":50487585571090,"sku":"9781848904163","price":25.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_9e5cba5c-b4b1-4a03-bdbf-f9df445072c2.jpg?v=1730446680","url":"https:\/\/surprise-castle.myshopify.com\/products\/bck-algebras-versus-m-bck-algebras-foundations-9781848904163","provider":"Surprise Castle","version":"1.0","type":"link"}