The Construction of SCM over Ring

نویسنده

  • Artur Korniłowicz
چکیده

The terminology and notation used in this paper have been introduced in the following articles: [6], [11], [2], [3], [9], [4], [5], [7], [1], [10], and [8]. For simplicity, we follow the rules: i, k are natural numbers, I is an element of Z8, i1 is an element of Instr-LocSCM, d1 is an element of Data-LocSCM, and S is a non empty 1-sorted structure. Let us observe that every non empty loop structure which is trivial is also Abelian, add-associative, right zeroed, and right complementable and every non empty double loop structure which is trivial is also right unital and rightdistributive. Let us note that every element of Data-LocSCM is natural. One can check the following observations:

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تاریخ انتشار 2004